2nthrt (problem 3.4.6)

Time bar (total: 1.6min)

analyze322.0ms (0.3%)

Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
25%25%74.9%0.1%0%0%0%3
25%25%74.9%0.1%0%0%0%4
37.5%37.5%62.4%0.1%0%0%0%5
37.5%37.5%62.4%0.1%0%0%0%6
45.2%43.7%53.1%0.1%0%0%3.1%7
45.2%43.7%53.1%0.1%0%0%3.1%8
50.8%46.8%45.3%0.1%0%0%7.8%9
50.8%46.8%45.3%0.1%0%0%7.8%10
53.9%48.4%41.4%0.1%0%0%10.1%11
53.9%48.4%41.4%0.1%0%0%10.1%12
Compiler

Compiled 16 to 12 computations (25% saved)

sample1.1min (70.3%)

Results
1.0min6983×8192exit
2.4s2144×1024valid
611.0ms2025×256valid
664.0ms1497×256unsamplable
619.0ms1446×256infinite
1.1s1335×2048valid
587.0ms970×512valid
235.0ms187×512infinite
188.0ms149×1024infinite
Bogosity

preprocess584.0ms (0.6%)

Algorithm
egg-herbie
Rules
1134×fma-def
924×distribute-lft-neg-in
786×distribute-rgt-neg-in
756×cancel-sign-sub-inv
720×fma-neg
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1051(6.7336260469588915e+215 1.9179788987400525e+107)0-(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))
3963(6.120869185066875e+185 -1.6264428230257202e-46)0-(pow.f64 (+.f64 x 1) (/.f64 1 n))
00-0-x
00-0-(+.f64 x 1)
00-0-1
00-0-n
00-0-(/.f64 1 n)
069(6.120869185066875e+185 -1.6264428230257202e-46)0-(pow.f64 x (/.f64 1 n))
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
031383
176359
2196351
3541351
41884351
54798351
Stop Event
node limit
Calls
Call 1
Inputs
(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))
(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))
(-.f64 (pow.f64 (+.f64 (neg.f64 x) 1) (/.f64 1 n)) (pow.f64 (neg.f64 x) (/.f64 1 n)))
(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 (neg.f64 n))) (pow.f64 x (/.f64 1 (neg.f64 n))))
(neg.f64 (-.f64 (pow.f64 (+.f64 (neg.f64 x) 1) (/.f64 1 n)) (pow.f64 (neg.f64 x) (/.f64 1 n))))
(neg.f64 (-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 (neg.f64 n))) (pow.f64 x (/.f64 1 (neg.f64 n)))))
(-.f64 (pow.f64 (+.f64 n 1) (/.f64 1 x)) (pow.f64 n (/.f64 1 x)))
Outputs
(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))
(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))
(-.f64 (pow.f64 (+.f64 (neg.f64 x) 1) (/.f64 1 n)) (pow.f64 (neg.f64 x) (/.f64 1 n)))
(-.f64 (pow.f64 (+.f64 1 (neg.f64 x)) (/.f64 1 n)) (pow.f64 (neg.f64 x) (/.f64 1 n)))
(-.f64 (pow.f64 (-.f64 1 x) (/.f64 1 n)) (pow.f64 (neg.f64 x) (/.f64 1 n)))
(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 (neg.f64 n))) (pow.f64 x (/.f64 1 (neg.f64 n))))
(-.f64 (pow.f64 (+.f64 x 1) (/.f64 -1 n)) (pow.f64 x (/.f64 -1 n)))
(neg.f64 (-.f64 (pow.f64 (+.f64 (neg.f64 x) 1) (/.f64 1 n)) (pow.f64 (neg.f64 x) (/.f64 1 n))))
(neg.f64 (-.f64 (pow.f64 (+.f64 1 (neg.f64 x)) (/.f64 1 n)) (pow.f64 (neg.f64 x) (/.f64 1 n))))
(neg.f64 (-.f64 (pow.f64 (-.f64 1 x) (/.f64 1 n)) (pow.f64 (neg.f64 x) (/.f64 1 n))))
(-.f64 (pow.f64 (neg.f64 x) (/.f64 1 n)) (pow.f64 (-.f64 1 x) (/.f64 1 n)))
(neg.f64 (-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 (neg.f64 n))) (pow.f64 x (/.f64 1 (neg.f64 n)))))
(neg.f64 (-.f64 (pow.f64 (+.f64 x 1) (/.f64 -1 n)) (pow.f64 x (/.f64 -1 n))))
(-.f64 (pow.f64 x (/.f64 -1 n)) (pow.f64 (+.f64 x 1) (/.f64 -1 n)))
(-.f64 (pow.f64 (+.f64 n 1) (/.f64 1 x)) (pow.f64 n (/.f64 1 x)))
(-.f64 (pow.f64 (+.f64 1 n) (/.f64 1 x)) (pow.f64 n (/.f64 1 x)))
Compiler

Compiled 89 to 61 computations (31.5% saved)

eval0.0ms (0%)

Compiler

Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
54.5%
(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))
Compiler

Compiled 15 to 11 computations (26.7% saved)

localize660.0ms (0.7%)

Algorithm
egg-herbie
Localize:

Found 4 expressions with local error:

NewAccuracyProgram
100.0%
n
100.0%
1
85.9%
(pow.f64 (+.f64 x 1) (/.f64 1 n))
62.3%
(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))
Rules
1406×distribute-lft-neg-in
872×unswap-sqr
846×fma-def
564×*-commutative
508×sub-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
013122
128122
251122
3113122
4349122
51144122
63383122
76466122
Stop Event
node limit
Calls
Call 1
Inputs
(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))
(pow.f64 (+.f64 x 1) (/.f64 1 n))
(+.f64 x 1)
x
1
(/.f64 1 n)
n
(pow.f64 x (/.f64 1 n))
Outputs
(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))
(pow.f64 (+.f64 x 1) (/.f64 1 n))
(+.f64 x 1)
x
1
(/.f64 1 n)
n
(pow.f64 x (/.f64 1 n))
Compiler

Compiled 37 to 25 computations (32.4% saved)

series10.0ms (0%)

Counts
4 → 48
Calls

15 calls:

TimeVariablePointExpression
2.0ms
x
@-inf
(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))
2.0ms
x
@inf
(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))
1.0ms
n
@inf
(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))
1.0ms
x
@0
(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))
1.0ms
n
@-inf
(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))

rewrite228.0ms (0.2%)

Algorithm
batch-egg-rewrite
Rules
1094×prod-diff
889×log1p-expm1-u
889×expm1-log1p-u
834×log-prod
654×fma-def
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01379
118771
2253371
Stop Event
node limit
Counts
4 → 160
Calls
Call 1
Inputs
(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))
(pow.f64 (+.f64 x 1) (/.f64 1 n))
1
n
Outputs
(+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (neg.f64 (pow.f64 x (/.f64 1 n))))
(+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (*.f64 (neg.f64 (pow.f64 x (/.f64 1 n))) 1))
(+.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))) (fma.f64 (neg.f64 (pow.f64 x (/.f64 1 n))) 1 (pow.f64 x (/.f64 1 n))))
(+.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))) (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n)))) (cbrt.f64 (pow.f64 (pow.f64 x 2) (/.f64 1 n))) (pow.f64 x (/.f64 1 n))))
(+.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))) (+.f64 (neg.f64 (pow.f64 x (/.f64 1 n))) (pow.f64 x (/.f64 1 n))))
(+.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))) (fma.f64 -1 (pow.f64 x (/.f64 1 n)) (pow.f64 x (/.f64 1 n))))
(+.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))) (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (pow.f64 x 2) (/.f64 1 n)))) (cbrt.f64 (pow.f64 x (/.f64 1 n))) (pow.f64 x (/.f64 1 n))))
(+.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))) (fma.f64 (neg.f64 (pow.f64 (sqrt.f64 x) (/.f64 1 n))) (pow.f64 (sqrt.f64 x) (/.f64 1 n)) (pow.f64 x (/.f64 1 n))))
(+.f64 0 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))))
(+.f64 (neg.f64 (pow.f64 x (/.f64 1 n))) (exp.f64 (/.f64 (log1p.f64 x) n)))
(+.f64 (fma.f64 1 (exp.f64 (/.f64 (log1p.f64 x) n)) (neg.f64 (*.f64 (pow.f64 x (/.f64 1 n)) (pow.f64 1 (/.f64 1 n))))) (fma.f64 (neg.f64 (pow.f64 x (/.f64 1 n))) (pow.f64 1 (/.f64 1 n)) (*.f64 (pow.f64 x (/.f64 1 n)) (pow.f64 1 (/.f64 1 n)))))
(+.f64 (fma.f64 1 (exp.f64 (/.f64 (log1p.f64 x) n)) (neg.f64 (*.f64 (pow.f64 (cbrt.f64 x) (/.f64 1 n)) (pow.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 1 n))))) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 x) (/.f64 1 n))) (pow.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 1 n)) (*.f64 (pow.f64 (cbrt.f64 x) (/.f64 1 n)) (pow.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 1 n)))))
(+.f64 (fma.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 1 (neg.f64 (*.f64 (pow.f64 x (/.f64 1 n)) (pow.f64 1 (/.f64 1 n))))) (fma.f64 (neg.f64 (pow.f64 x (/.f64 1 n))) (pow.f64 1 (/.f64 1 n)) (*.f64 (pow.f64 x (/.f64 1 n)) (pow.f64 1 (/.f64 1 n)))))
(+.f64 (fma.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 1 (neg.f64 (*.f64 (pow.f64 (cbrt.f64 x) (/.f64 1 n)) (pow.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 1 n))))) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 x) (/.f64 1 n))) (pow.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 1 n)) (*.f64 (pow.f64 (cbrt.f64 x) (/.f64 1 n)) (pow.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 1 n)))))
(+.f64 (fma.f64 (cbrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))) (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))) 2) (neg.f64 (*.f64 (pow.f64 x (/.f64 1 n)) (pow.f64 1 (/.f64 1 n))))) (fma.f64 (neg.f64 (pow.f64 x (/.f64 1 n))) (pow.f64 1 (/.f64 1 n)) (*.f64 (pow.f64 x (/.f64 1 n)) (pow.f64 1 (/.f64 1 n)))))
(+.f64 (fma.f64 (cbrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))) (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))) 2) (neg.f64 (*.f64 (pow.f64 (cbrt.f64 x) (/.f64 1 n)) (pow.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 1 n))))) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 x) (/.f64 1 n))) (pow.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 1 n)) (*.f64 (pow.f64 (cbrt.f64 x) (/.f64 1 n)) (pow.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 1 n)))))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))) 2) (cbrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))) (neg.f64 (*.f64 (pow.f64 x (/.f64 1 n)) (pow.f64 1 (/.f64 1 n))))) (fma.f64 (neg.f64 (pow.f64 x (/.f64 1 n))) (pow.f64 1 (/.f64 1 n)) (*.f64 (pow.f64 x (/.f64 1 n)) (pow.f64 1 (/.f64 1 n)))))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))) 2) (cbrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))) (neg.f64 (*.f64 (pow.f64 (cbrt.f64 x) (/.f64 1 n)) (pow.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 1 n))))) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 x) (/.f64 1 n))) (pow.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 1 n)) (*.f64 (pow.f64 (cbrt.f64 x) (/.f64 1 n)) (pow.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 1 n)))))
(+.f64 (fma.f64 (sqrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))) (sqrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))) (neg.f64 (*.f64 (pow.f64 x (/.f64 1 n)) (pow.f64 1 (/.f64 1 n))))) (fma.f64 (neg.f64 (pow.f64 x (/.f64 1 n))) (pow.f64 1 (/.f64 1 n)) (*.f64 (pow.f64 x (/.f64 1 n)) (pow.f64 1 (/.f64 1 n)))))
(+.f64 (fma.f64 (sqrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))) (sqrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))) (neg.f64 (*.f64 (pow.f64 (cbrt.f64 x) (/.f64 1 n)) (pow.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 1 n))))) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 x) (/.f64 1 n))) (pow.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 1 n)) (*.f64 (pow.f64 (cbrt.f64 x) (/.f64 1 n)) (pow.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 1 n)))))
(+.f64 (fma.f64 (pow.f64 1 (/.f64 1 n)) (exp.f64 (/.f64 (log1p.f64 x) n)) (neg.f64 (*.f64 (pow.f64 x (/.f64 1 n)) (pow.f64 1 (/.f64 1 n))))) (fma.f64 (neg.f64 (pow.f64 x (/.f64 1 n))) (pow.f64 1 (/.f64 1 n)) (*.f64 (pow.f64 x (/.f64 1 n)) (pow.f64 1 (/.f64 1 n)))))
(+.f64 (fma.f64 (pow.f64 1 (/.f64 1 n)) (exp.f64 (/.f64 (log1p.f64 x) n)) (neg.f64 (*.f64 (pow.f64 (cbrt.f64 x) (/.f64 1 n)) (pow.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 1 n))))) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 x) (/.f64 1 n))) (pow.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 1 n)) (*.f64 (pow.f64 (cbrt.f64 x) (/.f64 1 n)) (pow.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 1 n)))))
(+.f64 (fma.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (/.f64 1 n)) (pow.f64 (cbrt.f64 (+.f64 x 1)) (/.f64 1 n)) (neg.f64 (*.f64 (pow.f64 x (/.f64 1 n)) (pow.f64 1 (/.f64 1 n))))) (fma.f64 (neg.f64 (pow.f64 x (/.f64 1 n))) (pow.f64 1 (/.f64 1 n)) (*.f64 (pow.f64 x (/.f64 1 n)) (pow.f64 1 (/.f64 1 n)))))
(+.f64 (fma.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (/.f64 1 n)) (pow.f64 (cbrt.f64 (+.f64 x 1)) (/.f64 1 n)) (neg.f64 (*.f64 (pow.f64 (cbrt.f64 x) (/.f64 1 n)) (pow.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 1 n))))) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 x) (/.f64 1 n))) (pow.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 1 n)) (*.f64 (pow.f64 (cbrt.f64 x) (/.f64 1 n)) (pow.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 1 n)))))
(+.f64 (fma.f64 (pow.f64 (sqrt.f64 (+.f64 x 1)) (/.f64 1 n)) (pow.f64 (sqrt.f64 (+.f64 x 1)) (/.f64 1 n)) (neg.f64 (*.f64 (pow.f64 x (/.f64 1 n)) (pow.f64 1 (/.f64 1 n))))) (fma.f64 (neg.f64 (pow.f64 x (/.f64 1 n))) (pow.f64 1 (/.f64 1 n)) (*.f64 (pow.f64 x (/.f64 1 n)) (pow.f64 1 (/.f64 1 n)))))
(+.f64 (fma.f64 (pow.f64 (sqrt.f64 (+.f64 x 1)) (/.f64 1 n)) (pow.f64 (sqrt.f64 (+.f64 x 1)) (/.f64 1 n)) (neg.f64 (*.f64 (pow.f64 (cbrt.f64 x) (/.f64 1 n)) (pow.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 1 n))))) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 x) (/.f64 1 n))) (pow.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 1 n)) (*.f64 (pow.f64 (cbrt.f64 x) (/.f64 1 n)) (pow.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 1 n)))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))))) (cbrt.f64 (exp.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))))))) (log.f64 (cbrt.f64 (exp.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))))))
(*.f64 1 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))))
(*.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))) 1)
(*.f64 (cbrt.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))) (pow.f64 (cbrt.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))) 2) (cbrt.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))))
(*.f64 (sqrt.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))) (sqrt.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))))
(*.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 3) (pow.f64 x (*.f64 (/.f64 1 n) 3))) (/.f64 1 (+.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 2) (+.f64 (pow.f64 (pow.f64 x 2) (/.f64 1 n)) (pow.f64 (*.f64 (+.f64 x 1) x) (/.f64 1 n))))))
(*.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 2) (pow.f64 (pow.f64 x 2) (/.f64 1 n))) (/.f64 1 (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))))
(*.f64 (+.f64 (sqrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))) (sqrt.f64 (pow.f64 x (/.f64 1 n)))) (-.f64 (sqrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))) (sqrt.f64 (pow.f64 x (/.f64 1 n)))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 2) (+.f64 (pow.f64 (pow.f64 x 2) (/.f64 1 n)) (pow.f64 (*.f64 (+.f64 x 1) x) (/.f64 1 n)))) (-.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 3) (pow.f64 x (*.f64 (/.f64 1 n) 3)))))
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(sqrt.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 2))
(log.f64 (exp.f64 (exp.f64 (/.f64 (log1p.f64 x) n))))
(log.f64 (+.f64 1 (expm1.f64 (exp.f64 (/.f64 (log1p.f64 x) n)))))
(cbrt.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 3))
(expm1.f64 (log1p.f64 (exp.f64 (/.f64 (log1p.f64 x) n))))
(exp.f64 (/.f64 (log1p.f64 x) n))
(exp.f64 (*.f64 (/.f64 (log1p.f64 x) n) 1))
(log1p.f64 (expm1.f64 (exp.f64 (/.f64 (log1p.f64 x) n))))
(+.f64 0 n)
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 n)) (cbrt.f64 (exp.f64 n)))) (log.f64 (cbrt.f64 (exp.f64 n))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 n))) (log.f64 (sqrt.f64 (exp.f64 n))))
(-.f64 (exp.f64 (log1p.f64 n)) 1)
(*.f64 1 n)
(*.f64 n 1)
(*.f64 (cbrt.f64 n) (pow.f64 (cbrt.f64 n) 2))
(*.f64 (pow.f64 (cbrt.f64 n) 2) (cbrt.f64 n))
(*.f64 (sqrt.f64 n) (sqrt.f64 n))
(/.f64 1 (/.f64 1 n))
(/.f64 n 1)
(/.f64 (pow.f64 (cbrt.f64 n) 2) (/.f64 1 (cbrt.f64 n)))
(/.f64 (sqrt.f64 n) (pow.f64 n -1/2))
(/.f64 (neg.f64 n) -1)
(pow.f64 n 1)
(pow.f64 (cbrt.f64 n) 3)
(pow.f64 (pow.f64 n 3) 1/3)
(pow.f64 (sqrt.f64 n) 2)
(sqrt.f64 (pow.f64 n 2))
(log.f64 (exp.f64 n))
(log.f64 (+.f64 1 (expm1.f64 n)))
(cbrt.f64 (pow.f64 n 3))
(expm1.f64 (log1p.f64 n))
(exp.f64 (log.f64 n))
(exp.f64 (*.f64 (log.f64 n) 1))
(log1p.f64 (expm1.f64 n))

simplify162.0ms (0.2%)

Algorithm
egg-herbie
Rules
1108×cancel-sign-sub-inv
1066×fma-neg
864×unswap-sqr
520×sub-neg
456×fma-def
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
048115714
1118314544
2430713756
Stop Event
node limit
Counts
208 → 309
Calls
Call 1
Inputs
(-.f64 1 (exp.f64 (/.f64 (log.f64 x) n)))
(-.f64 (+.f64 1 (/.f64 x n)) (exp.f64 (/.f64 (log.f64 x) n)))
(-.f64 (+.f64 1 (+.f64 (*.f64 (pow.f64 x 2) (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n)))) (/.f64 x n))) (exp.f64 (/.f64 (log.f64 x) n)))
(-.f64 (+.f64 1 (+.f64 (*.f64 (pow.f64 x 2) (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n)))) (+.f64 (*.f64 (pow.f64 x 3) (-.f64 (+.f64 (*.f64 1/6 (/.f64 1 (pow.f64 n 3))) (*.f64 1/3 (/.f64 1 n))) (*.f64 1/2 (/.f64 1 (pow.f64 n 2))))) (/.f64 x n)))) (exp.f64 (/.f64 (log.f64 x) n)))
(/.f64 (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (*.f64 n x))
(+.f64 (/.f64 (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (*.f64 n x)) (/.f64 (*.f64 (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n)))) (pow.f64 x 2)))
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(/.f64 (exp.f64 (/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))) n)) (*.f64 n x))
(+.f64 (/.f64 (exp.f64 (/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))) n)) (*.f64 n x)) (/.f64 (*.f64 (exp.f64 (/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))) n)) (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n)))) (pow.f64 x 2)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (exp.f64 (/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))) n)) (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (+.f64 (*.f64 1/6 (/.f64 1 (pow.f64 n 3))) (*.f64 1/3 (/.f64 1 n))))) (pow.f64 x 3))) (+.f64 (/.f64 (exp.f64 (/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))) n)) (*.f64 n x)) (/.f64 (*.f64 (exp.f64 (/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))) n)) (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n)))) (pow.f64 x 2))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (exp.f64 (/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))) n)) (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (+.f64 (*.f64 1/6 (/.f64 1 (pow.f64 n 3))) (*.f64 1/3 (/.f64 1 n))))) (pow.f64 x 3))) (+.f64 (/.f64 (exp.f64 (/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))) n)) (*.f64 n x)) (+.f64 (/.f64 (*.f64 (exp.f64 (/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))) n)) (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n)))) (pow.f64 x 2)) (/.f64 (*.f64 (exp.f64 (/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))) n)) (-.f64 (+.f64 (*.f64 1/24 (/.f64 1 (pow.f64 n 4))) (*.f64 11/24 (/.f64 1 (pow.f64 n 2)))) (+.f64 (*.f64 1/4 (/.f64 1 n)) (*.f64 1/4 (/.f64 1 (pow.f64 n 3)))))) (pow.f64 x 4)))))
(-.f64 (exp.f64 (/.f64 (log.f64 (+.f64 1 x)) n)) (exp.f64 (/.f64 (log.f64 x) n)))
(-.f64 (exp.f64 (/.f64 (log.f64 (+.f64 1 x)) n)) (exp.f64 (/.f64 (log.f64 x) n)))
(-.f64 (exp.f64 (/.f64 (log.f64 (+.f64 1 x)) n)) (exp.f64 (/.f64 (log.f64 x) n)))
(-.f64 (exp.f64 (/.f64 (log.f64 (+.f64 1 x)) n)) (exp.f64 (/.f64 (log.f64 x) n)))
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n)
(-.f64 (+.f64 (*.f64 1/2 (/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 2) (pow.f64 n 2))) (/.f64 (log.f64 (+.f64 1 x)) n)) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))) (/.f64 (log.f64 x) n)))
(-.f64 (+.f64 (*.f64 1/6 (/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 3) (pow.f64 n 3))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 2) (pow.f64 n 2))) (/.f64 (log.f64 (+.f64 1 x)) n))) (+.f64 (*.f64 1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))) (/.f64 (log.f64 x) n))))
(-.f64 (+.f64 (*.f64 1/24 (/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 4) (pow.f64 n 4))) (+.f64 (*.f64 1/6 (/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 3) (pow.f64 n 3))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 2) (pow.f64 n 2))) (/.f64 (log.f64 (+.f64 1 x)) n)))) (+.f64 (*.f64 1/24 (/.f64 (pow.f64 (log.f64 x) 4) (pow.f64 n 4))) (+.f64 (*.f64 1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))) (/.f64 (log.f64 x) n)))))
(*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (log.f64 (+.f64 1 x))) (*.f64 -1 (log.f64 x))) n))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (log.f64 (+.f64 1 x))) (*.f64 -1 (log.f64 x))) n)) (*.f64 1/2 (/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 2) (pow.f64 n 2)))) (*.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (log.f64 (+.f64 1 x))) (*.f64 -1 (log.f64 x))) n)) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1/6 (pow.f64 (log.f64 (+.f64 1 x)) 3)) (*.f64 -1/6 (pow.f64 (log.f64 x) 3))) (pow.f64 n 3))) (*.f64 1/2 (/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 2) (pow.f64 n 2))))) (*.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (log.f64 (+.f64 1 x))) (*.f64 -1 (log.f64 x))) n)) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1/6 (pow.f64 (log.f64 (+.f64 1 x)) 3)) (*.f64 -1/6 (pow.f64 (log.f64 x) 3))) (pow.f64 n 3))) (+.f64 (*.f64 1/24 (/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 4) (pow.f64 n 4))) (*.f64 1/2 (/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 2) (pow.f64 n 2)))))) (+.f64 (*.f64 1/24 (/.f64 (pow.f64 (log.f64 x) 4) (pow.f64 n 4))) (*.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2)))))
1
(+.f64 1 (/.f64 x n))
(+.f64 1 (+.f64 (*.f64 (pow.f64 x 2) (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n)))) (/.f64 x n)))
(+.f64 1 (+.f64 (*.f64 (pow.f64 x 2) (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n)))) (+.f64 (*.f64 (pow.f64 x 3) (-.f64 (+.f64 (*.f64 1/6 (/.f64 1 (pow.f64 n 3))) (*.f64 1/3 (/.f64 1 n))) (*.f64 1/2 (/.f64 1 (pow.f64 n 2))))) (/.f64 x n))))
(exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n)))
(+.f64 (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (/.f64 (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (*.f64 n x)))
(+.f64 (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (+.f64 (/.f64 (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (*.f64 n x)) (/.f64 (*.f64 (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n)))) (pow.f64 x 2))))
(+.f64 (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (+.f64 (/.f64 (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (*.f64 n x)) (+.f64 (/.f64 (*.f64 (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n)))) (pow.f64 x 2)) (/.f64 (*.f64 (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (-.f64 (+.f64 (*.f64 1/6 (/.f64 1 (pow.f64 n 3))) (*.f64 1/3 (/.f64 1 n))) (*.f64 1/2 (/.f64 1 (pow.f64 n 2))))) (pow.f64 x 3)))))
(exp.f64 (/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))) n))
(+.f64 (exp.f64 (/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))) n)) (/.f64 (exp.f64 (/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))) n)) (*.f64 n x)))
(+.f64 (exp.f64 (/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))) n)) (+.f64 (/.f64 (exp.f64 (/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))) n)) (*.f64 n x)) (/.f64 (*.f64 (exp.f64 (/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))) n)) (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n)))) (pow.f64 x 2))))
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(exp.f64 (/.f64 (log.f64 (+.f64 1 x)) n))
(exp.f64 (/.f64 (log.f64 (+.f64 1 x)) n))
(exp.f64 (/.f64 (log.f64 (+.f64 1 x)) n))
(exp.f64 (/.f64 (log.f64 (+.f64 1 x)) n))
1
(+.f64 1 (/.f64 (log.f64 (+.f64 1 x)) n))
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1
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(fma.f64 (sqrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))) (sqrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))) (neg.f64 (pow.f64 x (/.f64 1 n))))
(fma.f64 (sqrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))) (sqrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))) (*.f64 (neg.f64 (pow.f64 x (/.f64 1 n))) 1))
(fma.f64 (sqrt.f64 (pow.f64 x (/.f64 1 n))) (neg.f64 (sqrt.f64 (pow.f64 x (/.f64 1 n)))) (exp.f64 (/.f64 (log1p.f64 x) n)))
(fma.f64 (sqrt.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))) (sqrt.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))) (fma.f64 (neg.f64 (pow.f64 x (/.f64 1 n))) 1 (pow.f64 x (/.f64 1 n))))
(fma.f64 (sqrt.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))) (sqrt.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))) (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n)))) (cbrt.f64 (pow.f64 (pow.f64 x 2) (/.f64 1 n))) (pow.f64 x (/.f64 1 n))))
(fma.f64 (sqrt.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))) (sqrt.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))) (+.f64 (neg.f64 (pow.f64 x (/.f64 1 n))) (pow.f64 x (/.f64 1 n))))
(fma.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 3) (pow.f64 x (*.f64 (/.f64 1 n) 3))) (/.f64 1 (+.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 2) (+.f64 (pow.f64 (pow.f64 x 2) (/.f64 1 n)) (pow.f64 (*.f64 (+.f64 x 1) x) (/.f64 1 n))))) (fma.f64 (neg.f64 (pow.f64 x (/.f64 1 n))) 1 (pow.f64 x (/.f64 1 n))))
(fma.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 3) (pow.f64 x (*.f64 (/.f64 1 n) 3))) (/.f64 1 (+.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 2) (+.f64 (pow.f64 (pow.f64 x 2) (/.f64 1 n)) (pow.f64 (*.f64 (+.f64 x 1) x) (/.f64 1 n))))) (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n)))) (cbrt.f64 (pow.f64 (pow.f64 x 2) (/.f64 1 n))) (pow.f64 x (/.f64 1 n))))
(fma.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 3) (pow.f64 x (*.f64 (/.f64 1 n) 3))) (/.f64 1 (+.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 2) (+.f64 (pow.f64 (pow.f64 x 2) (/.f64 1 n)) (pow.f64 (*.f64 (+.f64 x 1) x) (/.f64 1 n))))) (+.f64 (neg.f64 (pow.f64 x (/.f64 1 n))) (pow.f64 x (/.f64 1 n))))
(fma.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 2) (pow.f64 (pow.f64 x 2) (/.f64 1 n))) (/.f64 1 (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))) (fma.f64 (neg.f64 (pow.f64 x (/.f64 1 n))) 1 (pow.f64 x (/.f64 1 n))))
(fma.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 2) (pow.f64 (pow.f64 x 2) (/.f64 1 n))) (/.f64 1 (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))) (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n)))) (cbrt.f64 (pow.f64 (pow.f64 x 2) (/.f64 1 n))) (pow.f64 x (/.f64 1 n))))
(fma.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 2) (pow.f64 (pow.f64 x 2) (/.f64 1 n))) (/.f64 1 (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))) (+.f64 (neg.f64 (pow.f64 x (/.f64 1 n))) (pow.f64 x (/.f64 1 n))))
(fma.f64 (neg.f64 (sqrt.f64 (pow.f64 x (/.f64 1 n)))) (sqrt.f64 (pow.f64 x (/.f64 1 n))) (exp.f64 (/.f64 (log1p.f64 x) n)))
(fma.f64 (pow.f64 1 (/.f64 1 n)) (exp.f64 (/.f64 (log1p.f64 x) n)) (neg.f64 (pow.f64 x (/.f64 1 n))))
(fma.f64 (pow.f64 1 (/.f64 1 n)) (exp.f64 (/.f64 (log1p.f64 x) n)) (*.f64 (neg.f64 (pow.f64 x (/.f64 1 n))) 1))
(fma.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (/.f64 1 n)) (pow.f64 (cbrt.f64 (+.f64 x 1)) (/.f64 1 n)) (neg.f64 (pow.f64 x (/.f64 1 n))))
(fma.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (/.f64 1 n)) (pow.f64 (cbrt.f64 (+.f64 x 1)) (/.f64 1 n)) (*.f64 (neg.f64 (pow.f64 x (/.f64 1 n))) 1))
(fma.f64 (pow.f64 (sqrt.f64 (+.f64 x 1)) (/.f64 1 n)) (pow.f64 (sqrt.f64 (+.f64 x 1)) (/.f64 1 n)) (neg.f64 (pow.f64 x (/.f64 1 n))))
(fma.f64 (pow.f64 (sqrt.f64 (+.f64 x 1)) (/.f64 1 n)) (pow.f64 (sqrt.f64 (+.f64 x 1)) (/.f64 1 n)) (*.f64 (neg.f64 (pow.f64 x (/.f64 1 n))) 1))
(fma.f64 (*.f64 (cbrt.f64 (neg.f64 (pow.f64 x (/.f64 1 n)))) (cbrt.f64 (neg.f64 (pow.f64 x (/.f64 1 n))))) (cbrt.f64 (neg.f64 (pow.f64 x (/.f64 1 n)))) (exp.f64 (/.f64 (log1p.f64 x) n)))
(fma.f64 (sqrt.f64 (neg.f64 (pow.f64 x (/.f64 1 n)))) (sqrt.f64 (neg.f64 (pow.f64 x (/.f64 1 n)))) (exp.f64 (/.f64 (log1p.f64 x) n)))
(fma.f64 (+.f64 (sqrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))) (sqrt.f64 (pow.f64 x (/.f64 1 n)))) (-.f64 (sqrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))) (sqrt.f64 (pow.f64 x (/.f64 1 n)))) (fma.f64 (neg.f64 (pow.f64 x (/.f64 1 n))) 1 (pow.f64 x (/.f64 1 n))))
(fma.f64 (+.f64 (sqrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))) (sqrt.f64 (pow.f64 x (/.f64 1 n)))) (-.f64 (sqrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))) (sqrt.f64 (pow.f64 x (/.f64 1 n)))) (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n)))) (cbrt.f64 (pow.f64 (pow.f64 x 2) (/.f64 1 n))) (pow.f64 x (/.f64 1 n))))
(fma.f64 (+.f64 (sqrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))) (sqrt.f64 (pow.f64 x (/.f64 1 n)))) (-.f64 (sqrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))) (sqrt.f64 (pow.f64 x (/.f64 1 n)))) (+.f64 (neg.f64 (pow.f64 x (/.f64 1 n))) (pow.f64 x (/.f64 1 n))))
(fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (pow.f64 x 2) (/.f64 1 n)))) (cbrt.f64 (pow.f64 x (/.f64 1 n))) (exp.f64 (/.f64 (log1p.f64 x) n)))
(+.f64 0 (exp.f64 (/.f64 (log1p.f64 x) n)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (exp.f64 (/.f64 (log1p.f64 x) n)))) (cbrt.f64 (exp.f64 (exp.f64 (/.f64 (log1p.f64 x) n)))))) (log.f64 (cbrt.f64 (exp.f64 (exp.f64 (/.f64 (log1p.f64 x) n))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (exp.f64 (/.f64 (log1p.f64 x) n))))) (log.f64 (sqrt.f64 (exp.f64 (exp.f64 (/.f64 (log1p.f64 x) n))))))
(-.f64 (exp.f64 (log1p.f64 (exp.f64 (/.f64 (log1p.f64 x) n)))) 1)
(*.f64 1 (exp.f64 (/.f64 (log1p.f64 x) n)))
(*.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 1)
(*.f64 (cbrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))) (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))) 2))
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))) 2) (cbrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))))
(*.f64 (sqrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))) (sqrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))))
(*.f64 (pow.f64 1 (/.f64 1 n)) (exp.f64 (/.f64 (log1p.f64 x) n)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (/.f64 1 n)) (pow.f64 (cbrt.f64 (+.f64 x 1)) (/.f64 1 n)))
(*.f64 (pow.f64 (sqrt.f64 (+.f64 x 1)) (/.f64 1 n)) (pow.f64 (sqrt.f64 (+.f64 x 1)) (/.f64 1 n)))
(sqrt.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 2))
(log.f64 (exp.f64 (exp.f64 (/.f64 (log1p.f64 x) n))))
(log.f64 (+.f64 1 (expm1.f64 (exp.f64 (/.f64 (log1p.f64 x) n)))))
(cbrt.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 3))
(expm1.f64 (log1p.f64 (exp.f64 (/.f64 (log1p.f64 x) n))))
(exp.f64 (/.f64 (log1p.f64 x) n))
(exp.f64 (*.f64 (/.f64 (log1p.f64 x) n) 1))
(log1p.f64 (expm1.f64 (exp.f64 (/.f64 (log1p.f64 x) n))))
(+.f64 0 n)
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 n)) (cbrt.f64 (exp.f64 n)))) (log.f64 (cbrt.f64 (exp.f64 n))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 n))) (log.f64 (sqrt.f64 (exp.f64 n))))
(-.f64 (exp.f64 (log1p.f64 n)) 1)
(*.f64 1 n)
(*.f64 n 1)
(*.f64 (cbrt.f64 n) (pow.f64 (cbrt.f64 n) 2))
(*.f64 (pow.f64 (cbrt.f64 n) 2) (cbrt.f64 n))
(*.f64 (sqrt.f64 n) (sqrt.f64 n))
(/.f64 1 (/.f64 1 n))
(/.f64 n 1)
(/.f64 (pow.f64 (cbrt.f64 n) 2) (/.f64 1 (cbrt.f64 n)))
(/.f64 (sqrt.f64 n) (pow.f64 n -1/2))
(/.f64 (neg.f64 n) -1)
(pow.f64 n 1)
(pow.f64 (cbrt.f64 n) 3)
(pow.f64 (pow.f64 n 3) 1/3)
(pow.f64 (sqrt.f64 n) 2)
(sqrt.f64 (pow.f64 n 2))
(log.f64 (exp.f64 n))
(log.f64 (+.f64 1 (expm1.f64 n)))
(cbrt.f64 (pow.f64 n 3))
(expm1.f64 (log1p.f64 n))
(exp.f64 (log.f64 n))
(exp.f64 (*.f64 (log.f64 n) 1))
(log1p.f64 (expm1.f64 n))
Outputs
(-.f64 1 (exp.f64 (/.f64 (log.f64 x) n)))
(-.f64 (+.f64 1 (/.f64 x n)) (exp.f64 (/.f64 (log.f64 x) n)))
(+.f64 1 (-.f64 (/.f64 x n) (exp.f64 (/.f64 (log.f64 x) n))))
(-.f64 (+.f64 1 (+.f64 (*.f64 (pow.f64 x 2) (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n)))) (/.f64 x n))) (exp.f64 (/.f64 (log.f64 x) n)))
(+.f64 1 (-.f64 (fma.f64 (pow.f64 x 2) (-.f64 (/.f64 1/2 (pow.f64 n 2)) (/.f64 1/2 n)) (/.f64 x n)) (exp.f64 (/.f64 (log.f64 x) n))))
(+.f64 1 (-.f64 (fma.f64 (pow.f64 x 2) (+.f64 (/.f64 1/2 (pow.f64 n 2)) (/.f64 -1/2 n)) (/.f64 x n)) (exp.f64 (/.f64 (log.f64 x) n))))
(-.f64 (+.f64 1 (+.f64 (*.f64 (pow.f64 x 2) (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n)))) (+.f64 (*.f64 (pow.f64 x 3) (-.f64 (+.f64 (*.f64 1/6 (/.f64 1 (pow.f64 n 3))) (*.f64 1/3 (/.f64 1 n))) (*.f64 1/2 (/.f64 1 (pow.f64 n 2))))) (/.f64 x n)))) (exp.f64 (/.f64 (log.f64 x) n)))
(+.f64 1 (-.f64 (fma.f64 (pow.f64 x 2) (-.f64 (/.f64 1/2 (pow.f64 n 2)) (/.f64 1/2 n)) (fma.f64 (pow.f64 x 3) (+.f64 (/.f64 1/6 (pow.f64 n 3)) (-.f64 (/.f64 1/3 n) (/.f64 1/2 (pow.f64 n 2)))) (/.f64 x n))) (exp.f64 (/.f64 (log.f64 x) n))))
(+.f64 1 (-.f64 (fma.f64 (pow.f64 x 2) (+.f64 (/.f64 1/2 (pow.f64 n 2)) (/.f64 -1/2 n)) (fma.f64 (pow.f64 x 3) (+.f64 (/.f64 1/6 (pow.f64 n 3)) (+.f64 (/.f64 1/3 n) (/.f64 -1/2 (pow.f64 n 2)))) (/.f64 x n))) (exp.f64 (/.f64 (log.f64 x) n))))
(/.f64 (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (*.f64 n x))
(/.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) (*.f64 x n))
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n))
(+.f64 (/.f64 (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (*.f64 n x)) (/.f64 (*.f64 (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n)))) (pow.f64 x 2)))
(+.f64 (/.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) (*.f64 x n)) (/.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) (/.f64 (pow.f64 x 2) (-.f64 (/.f64 1/2 (pow.f64 n 2)) (/.f64 1/2 n)))))
(+.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n)) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (/.f64 (pow.f64 x 2) (+.f64 (/.f64 1/2 (pow.f64 n 2)) (/.f64 -1/2 n)))))
(+.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n)) (*.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (pow.f64 x 2)) (+.f64 (/.f64 1/2 (pow.f64 n 2)) (/.f64 -1/2 n))))
(+.f64 (/.f64 (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (*.f64 n x)) (+.f64 (/.f64 (*.f64 (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n)))) (pow.f64 x 2)) (/.f64 (*.f64 (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (-.f64 (+.f64 (*.f64 1/6 (/.f64 1 (pow.f64 n 3))) (*.f64 1/3 (/.f64 1 n))) (*.f64 1/2 (/.f64 1 (pow.f64 n 2))))) (pow.f64 x 3))))
(+.f64 (/.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) (*.f64 x n)) (+.f64 (/.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) (/.f64 (pow.f64 x 2) (-.f64 (/.f64 1/2 (pow.f64 n 2)) (/.f64 1/2 n)))) (/.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) (/.f64 (pow.f64 x 3) (+.f64 (/.f64 1/6 (pow.f64 n 3)) (-.f64 (/.f64 1/3 n) (/.f64 1/2 (pow.f64 n 2))))))))
(+.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n)) (+.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (/.f64 (pow.f64 x 2) (+.f64 (/.f64 1/2 (pow.f64 n 2)) (/.f64 -1/2 n)))) (*.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (pow.f64 x 3)) (+.f64 (/.f64 1/6 (pow.f64 n 3)) (+.f64 (/.f64 1/3 n) (/.f64 -1/2 (pow.f64 n 2)))))))
(+.f64 (*.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (pow.f64 x 2)) (+.f64 (/.f64 1/2 (pow.f64 n 2)) (/.f64 -1/2 n))) (+.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n)) (*.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (pow.f64 x 3)) (+.f64 (/.f64 1/6 (pow.f64 n 3)) (+.f64 (/.f64 1/3 n) (/.f64 -1/2 (pow.f64 n 2)))))))
(+.f64 (/.f64 (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (*.f64 n x)) (+.f64 (/.f64 (*.f64 (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n)))) (pow.f64 x 2)) (+.f64 (/.f64 (*.f64 (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (-.f64 (+.f64 (*.f64 1/24 (/.f64 1 (pow.f64 n 4))) (*.f64 11/24 (/.f64 1 (pow.f64 n 2)))) (+.f64 (*.f64 1/4 (/.f64 1 n)) (*.f64 1/4 (/.f64 1 (pow.f64 n 3)))))) (pow.f64 x 4)) (/.f64 (*.f64 (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (-.f64 (+.f64 (*.f64 1/6 (/.f64 1 (pow.f64 n 3))) (*.f64 1/3 (/.f64 1 n))) (*.f64 1/2 (/.f64 1 (pow.f64 n 2))))) (pow.f64 x 3)))))
(+.f64 (/.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) (*.f64 x n)) (+.f64 (/.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) (/.f64 (pow.f64 x 2) (-.f64 (/.f64 1/2 (pow.f64 n 2)) (/.f64 1/2 n)))) (+.f64 (/.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) (/.f64 (pow.f64 x 3) (+.f64 (/.f64 1/6 (pow.f64 n 3)) (-.f64 (/.f64 1/3 n) (/.f64 1/2 (pow.f64 n 2)))))) (/.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) (/.f64 (pow.f64 x 4) (-.f64 (+.f64 (/.f64 1/24 (pow.f64 n 4)) (/.f64 11/24 (pow.f64 n 2))) (+.f64 (/.f64 1/4 n) (/.f64 1/4 (pow.f64 n 3)))))))))
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1
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1
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1
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(fma.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) (/.f64 1 n)) (pow.f64 (cbrt.f64 (+.f64 1 x)) (/.f64 1 n)) (neg.f64 (pow.f64 x (/.f64 1 n))))
(fma.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (/.f64 1 n)) (pow.f64 (cbrt.f64 (+.f64 x 1)) (/.f64 1 n)) (*.f64 (neg.f64 (pow.f64 x (/.f64 1 n))) 1))
(+.f64 (+.f64 (neg.f64 (pow.f64 x (/.f64 1 n))) (*.f64 1 (pow.f64 x (/.f64 1 n)))) (fma.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) (/.f64 1 n)) (pow.f64 (cbrt.f64 (+.f64 1 x)) (/.f64 1 n)) (neg.f64 (pow.f64 x (/.f64 1 n)))))
(+.f64 (*.f64 (pow.f64 x (/.f64 1 n)) 0) (-.f64 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) (/.f64 1 n)) (pow.f64 (cbrt.f64 (+.f64 1 x)) (/.f64 1 n))) (pow.f64 x (/.f64 1 n))))
(fma.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) (/.f64 1 n)) (pow.f64 (cbrt.f64 (+.f64 1 x)) (/.f64 1 n)) (neg.f64 (pow.f64 x (/.f64 1 n))))
(fma.f64 (pow.f64 (sqrt.f64 (+.f64 x 1)) (/.f64 1 n)) (pow.f64 (sqrt.f64 (+.f64 x 1)) (/.f64 1 n)) (neg.f64 (pow.f64 x (/.f64 1 n))))
(+.f64 (+.f64 (neg.f64 (pow.f64 x (/.f64 1 n))) (*.f64 1 (pow.f64 x (/.f64 1 n)))) (+.f64 (pow.f64 (sqrt.f64 (+.f64 1 x)) (*.f64 2 (/.f64 1 n))) (neg.f64 (pow.f64 x (/.f64 1 n)))))
(+.f64 (*.f64 (pow.f64 x (/.f64 1 n)) 0) (-.f64 (pow.f64 (sqrt.f64 (+.f64 1 x)) (/.f64 2 n)) (pow.f64 x (/.f64 1 n))))
(-.f64 (pow.f64 (sqrt.f64 (+.f64 1 x)) (/.f64 2 n)) (pow.f64 x (/.f64 1 n)))
(fma.f64 (pow.f64 (sqrt.f64 (+.f64 x 1)) (/.f64 1 n)) (pow.f64 (sqrt.f64 (+.f64 x 1)) (/.f64 1 n)) (*.f64 (neg.f64 (pow.f64 x (/.f64 1 n))) 1))
(+.f64 (+.f64 (neg.f64 (pow.f64 x (/.f64 1 n))) (*.f64 1 (pow.f64 x (/.f64 1 n)))) (+.f64 (pow.f64 (sqrt.f64 (+.f64 1 x)) (*.f64 2 (/.f64 1 n))) (neg.f64 (pow.f64 x (/.f64 1 n)))))
(+.f64 (*.f64 (pow.f64 x (/.f64 1 n)) 0) (-.f64 (pow.f64 (sqrt.f64 (+.f64 1 x)) (/.f64 2 n)) (pow.f64 x (/.f64 1 n))))
(-.f64 (pow.f64 (sqrt.f64 (+.f64 1 x)) (/.f64 2 n)) (pow.f64 x (/.f64 1 n)))
(fma.f64 (*.f64 (cbrt.f64 (neg.f64 (pow.f64 x (/.f64 1 n)))) (cbrt.f64 (neg.f64 (pow.f64 x (/.f64 1 n))))) (cbrt.f64 (neg.f64 (pow.f64 x (/.f64 1 n)))) (exp.f64 (/.f64 (log1p.f64 x) n)))
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))
(fma.f64 (sqrt.f64 (neg.f64 (pow.f64 x (/.f64 1 n)))) (sqrt.f64 (neg.f64 (pow.f64 x (/.f64 1 n)))) (exp.f64 (/.f64 (log1p.f64 x) n)))
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))
(fma.f64 (+.f64 (sqrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))) (sqrt.f64 (pow.f64 x (/.f64 1 n)))) (-.f64 (sqrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))) (sqrt.f64 (pow.f64 x (/.f64 1 n)))) (fma.f64 (neg.f64 (pow.f64 x (/.f64 1 n))) 1 (pow.f64 x (/.f64 1 n))))
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))
(fma.f64 (+.f64 (sqrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))) (sqrt.f64 (pow.f64 x (/.f64 1 n)))) (-.f64 (sqrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))) (sqrt.f64 (pow.f64 x (/.f64 1 n)))) (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n)))) (cbrt.f64 (pow.f64 (pow.f64 x 2) (/.f64 1 n))) (pow.f64 x (/.f64 1 n))))
(+.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))) (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n)))) (cbrt.f64 (pow.f64 (pow.f64 x 2) (/.f64 1 n))) (pow.f64 x (/.f64 1 n))))
(+.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))) (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (pow.f64 x 2) (/.f64 1 n)))) (cbrt.f64 (pow.f64 x (/.f64 1 n))) (pow.f64 x (/.f64 1 n))))
(+.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))) (-.f64 (pow.f64 x (/.f64 1 n)) (*.f64 (cbrt.f64 (pow.f64 (pow.f64 x 2) (/.f64 1 n))) (cbrt.f64 (pow.f64 x (/.f64 1 n))))))
(fma.f64 (+.f64 (sqrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))) (sqrt.f64 (pow.f64 x (/.f64 1 n)))) (-.f64 (sqrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))) (sqrt.f64 (pow.f64 x (/.f64 1 n)))) (+.f64 (neg.f64 (pow.f64 x (/.f64 1 n))) (pow.f64 x (/.f64 1 n))))
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))
(fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (pow.f64 x 2) (/.f64 1 n)))) (cbrt.f64 (pow.f64 x (/.f64 1 n))) (exp.f64 (/.f64 (log1p.f64 x) n)))
(fma.f64 (cbrt.f64 (pow.f64 (pow.f64 x 2) (/.f64 1 n))) (neg.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n)))) (exp.f64 (/.f64 (log1p.f64 x) n)))
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (*.f64 (cbrt.f64 (pow.f64 (pow.f64 x 2) (/.f64 1 n))) (cbrt.f64 (pow.f64 x (/.f64 1 n)))))
(+.f64 0 (exp.f64 (/.f64 (log1p.f64 x) n)))
(exp.f64 (/.f64 (log1p.f64 x) n))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (exp.f64 (/.f64 (log1p.f64 x) n)))) (cbrt.f64 (exp.f64 (exp.f64 (/.f64 (log1p.f64 x) n)))))) (log.f64 (cbrt.f64 (exp.f64 (exp.f64 (/.f64 (log1p.f64 x) n))))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (exp.f64 (/.f64 (log1p.f64 x) n)))))) (log.f64 (cbrt.f64 (exp.f64 (exp.f64 (/.f64 (log1p.f64 x) n))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (exp.f64 (/.f64 (log1p.f64 x) n))))) (log.f64 (sqrt.f64 (exp.f64 (exp.f64 (/.f64 (log1p.f64 x) n))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (exp.f64 (/.f64 (log1p.f64 x) n))))))
(-.f64 (exp.f64 (log1p.f64 (exp.f64 (/.f64 (log1p.f64 x) n)))) 1)
(exp.f64 (/.f64 (log1p.f64 x) n))
(*.f64 1 (exp.f64 (/.f64 (log1p.f64 x) n)))
(exp.f64 (/.f64 (log1p.f64 x) n))
(*.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 1)
(exp.f64 (/.f64 (log1p.f64 x) n))
(*.f64 (cbrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))) (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))) 2))
(exp.f64 (/.f64 (log1p.f64 x) n))
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))) 2) (cbrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))))
(exp.f64 (/.f64 (log1p.f64 x) n))
(*.f64 (sqrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))) (sqrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))))
(exp.f64 (/.f64 (log1p.f64 x) n))
(*.f64 (pow.f64 1 (/.f64 1 n)) (exp.f64 (/.f64 (log1p.f64 x) n)))
(exp.f64 (/.f64 (log1p.f64 x) n))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (/.f64 1 n)) (pow.f64 (cbrt.f64 (+.f64 x 1)) (/.f64 1 n)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) (/.f64 1 n)) (pow.f64 (cbrt.f64 (+.f64 1 x)) (/.f64 1 n)))
(*.f64 (pow.f64 (sqrt.f64 (+.f64 x 1)) (/.f64 1 n)) (pow.f64 (sqrt.f64 (+.f64 x 1)) (/.f64 1 n)))
(pow.f64 (sqrt.f64 (+.f64 1 x)) (*.f64 2 (/.f64 1 n)))
(pow.f64 (sqrt.f64 (+.f64 1 x)) (/.f64 2 n))
(sqrt.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 2))
(exp.f64 (/.f64 (log1p.f64 x) n))
(log.f64 (exp.f64 (exp.f64 (/.f64 (log1p.f64 x) n))))
(exp.f64 (/.f64 (log1p.f64 x) n))
(log.f64 (+.f64 1 (expm1.f64 (exp.f64 (/.f64 (log1p.f64 x) n)))))
(exp.f64 (/.f64 (log1p.f64 x) n))
(cbrt.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 3))
(exp.f64 (/.f64 (log1p.f64 x) n))
(expm1.f64 (log1p.f64 (exp.f64 (/.f64 (log1p.f64 x) n))))
(exp.f64 (/.f64 (log1p.f64 x) n))
(exp.f64 (/.f64 (log1p.f64 x) n))
(exp.f64 (*.f64 (/.f64 (log1p.f64 x) n) 1))
(exp.f64 (/.f64 (log1p.f64 x) n))
(log1p.f64 (expm1.f64 (exp.f64 (/.f64 (log1p.f64 x) n))))
(exp.f64 (/.f64 (log1p.f64 x) n))
(+.f64 0 n)
n
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 n)) (cbrt.f64 (exp.f64 n)))) (log.f64 (cbrt.f64 (exp.f64 n))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 n)))) (log.f64 (cbrt.f64 (exp.f64 n))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 n))) (log.f64 (sqrt.f64 (exp.f64 n))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 n))))
(-.f64 (exp.f64 (log1p.f64 n)) 1)
n
(*.f64 1 n)
n
(*.f64 n 1)
n
(*.f64 (cbrt.f64 n) (pow.f64 (cbrt.f64 n) 2))
n
(*.f64 (pow.f64 (cbrt.f64 n) 2) (cbrt.f64 n))
n
(*.f64 (sqrt.f64 n) (sqrt.f64 n))
n
(/.f64 1 (/.f64 1 n))
n
(/.f64 n 1)
n
(/.f64 (pow.f64 (cbrt.f64 n) 2) (/.f64 1 (cbrt.f64 n)))
n
(/.f64 (sqrt.f64 n) (pow.f64 n -1/2))
(/.f64 (neg.f64 n) -1)
(neg.f64 (/.f64 n -1))
(pow.f64 n 1)
n
(pow.f64 (cbrt.f64 n) 3)
n
(pow.f64 (pow.f64 n 3) 1/3)
n
(pow.f64 (sqrt.f64 n) 2)
n
(sqrt.f64 (pow.f64 n 2))
n
(log.f64 (exp.f64 n))
n
(log.f64 (+.f64 1 (expm1.f64 n)))
n
(cbrt.f64 (pow.f64 n 3))
n
(expm1.f64 (log1p.f64 n))
n
(exp.f64 (log.f64 n))
n
(exp.f64 (*.f64 (log.f64 n) 1))
n
(log1p.f64 (expm1.f64 n))
n

eval183.0ms (0.2%)

Compiler

Compiled 11061 to 6903 computations (37.6% saved)

prune55.0ms (0.1%)

Pruning

11 alts after pruning (10 fresh and 1 done)

PrunedKeptTotal
New32910339
Fresh000
Picked011
Done000
Total32911340
Accuracy
99.5%
Counts
340 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
27.4%
(/.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 2) (pow.f64 x (/.f64 2 n))) (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))))
57.3%
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
62.6%
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n))
54.5%
(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))
31.0%
(-.f64 (+.f64 1 (/.f64 x n)) (pow.f64 x (/.f64 1 n)))
62.2%
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))
42.7%
(-.f64 1 (pow.f64 x (/.f64 1 n)))
52.1%
(+.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) (*.f64 1/2 (-.f64 (/.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 n 2)) (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2)))))
41.7%
(+.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n)) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (/.f64 (pow.f64 x 2) (+.f64 (/.f64 1/2 (pow.f64 n 2)) (/.f64 -1/2 n)))))
40.6%
(+.f64 (*.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (pow.f64 x 2)) (+.f64 (/.f64 1/2 (pow.f64 n 2)) (/.f64 -1/2 n))) (+.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n)) (*.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (pow.f64 x 3)) (+.f64 (/.f64 1/6 (pow.f64 n 3)) (+.f64 (/.f64 1/3 n) (/.f64 -1/2 (pow.f64 n 2)))))))
62.2%
(log.f64 (exp.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))))
Compiler

Compiled 443 to 291 computations (34.3% saved)

localize3.5s (3.7%)

Algorithm
egg-herbie
Localize:

Found 20 expressions with local error:

NewAccuracyProgram
100.0%
(pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 2)
100.0%
(/.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 2) (pow.f64 x (/.f64 2 n))) (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))))
99.9%
(/.f64 (log1p.f64 x) n)
62.6%
(-.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 2) (pow.f64 x (/.f64 2 n)))
100.0%
(exp.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))))
99.9%
(/.f64 (log1p.f64 x) n)
62.6%
(log.f64 (exp.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))))
62.6%
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))
100.0%
x
100.0%
n
99.8%
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
68.0%
(-.f64 (log1p.f64 x) (log.f64 x))
100.0%
x
100.0%
n
100.0%
1
46.0%
(-.f64 1 (pow.f64 x (/.f64 1 n)))
100.0%
x
100.0%
n
99.8%
(/.f64 (log.f64 x) n)
97.3%
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n))
Rules
1582×fma-def
1294×fma-def
1092×associate-*r*
1050×distribute-lft-neg-in
1006×exp-prod
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
013106
116106
218106
01163
12363
23863
38263
421663
562863
6204763
7428763
8655363
01275
11775
22475
33675
46375
59375
615775
724475
839175
961975
10107275
11111775
12114975
13115575
017223
131223
253223
3119223
4315223
5955223
63692223
021338
142338
283338
3188338
4543288
52363282
67342282
Stop Event
node limit
node limit
saturated
node limit
saturated
Calls
Call 1
Inputs
(/.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 2) (pow.f64 x (/.f64 2 n))) (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))))
(-.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 2) (pow.f64 x (/.f64 2 n)))
(pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 2)
(exp.f64 (/.f64 (log1p.f64 x) n))
(/.f64 (log1p.f64 x) n)
(log1p.f64 x)
x
n
2
(pow.f64 x (/.f64 2 n))
(/.f64 2 n)
(+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))
(pow.f64 x (/.f64 1 n))
(/.f64 1 n)
1
Outputs
(/.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 2) (pow.f64 x (/.f64 2 n))) (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))))
(*.f64 1 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))))
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))
(-.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 2) (pow.f64 x (/.f64 2 n)))
(-.f64 (exp.f64 (/.f64 2 (/.f64 n (log1p.f64 x)))) (pow.f64 x (/.f64 2 n)))
(-.f64 (exp.f64 (*.f64 (/.f64 2 n) (log1p.f64 x))) (pow.f64 x (/.f64 2 n)))
(pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 2)
(exp.f64 (/.f64 2 (/.f64 n (log1p.f64 x))))
(exp.f64 (*.f64 (/.f64 2 n) (log1p.f64 x)))
(exp.f64 (/.f64 (log1p.f64 x) n))
(/.f64 (log1p.f64 x) n)
(log1p.f64 x)
x
n
2
(pow.f64 x (/.f64 2 n))
(/.f64 2 n)
(+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))
(pow.f64 x (/.f64 1 n))
(/.f64 1 n)
1
Call 2
Inputs
(log.f64 (exp.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))))
(exp.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))))
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))
(exp.f64 (/.f64 (log1p.f64 x) n))
(/.f64 (log1p.f64 x) n)
(log1p.f64 x)
x
n
(pow.f64 x (/.f64 1 n))
(/.f64 1 n)
1
Outputs
(log.f64 (exp.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))))
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))
(exp.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))))
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))
(exp.f64 (/.f64 (log1p.f64 x) n))
(/.f64 (log1p.f64 x) n)
(log1p.f64 x)
x
n
(pow.f64 x (/.f64 1 n))
(/.f64 1 n)
1
Call 3
Inputs
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(-.f64 (log1p.f64 x) (log.f64 x))
(log1p.f64 x)
x
(log.f64 x)
n
Outputs
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(-.f64 (log1p.f64 x) (log.f64 x))
(log1p.f64 x)
x
(log.f64 x)
n
Call 4
Inputs
(-.f64 1 (pow.f64 x (/.f64 1 n)))
1
(pow.f64 x (/.f64 1 n))
x
(/.f64 1 n)
n
Outputs
(-.f64 1 (pow.f64 x (/.f64 1 n)))
1
(pow.f64 x (/.f64 1 n))
x
(/.f64 1 n)
n
Call 5
Inputs
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n))
(exp.f64 (/.f64 (log.f64 x) n))
(/.f64 (log.f64 x) n)
(log.f64 x)
x
n
(*.f64 x n)
Outputs
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n))
(exp.f64 (/.f64 (log.f64 x) n))
(/.f64 (log.f64 x) n)
(log.f64 x)
x
n
(*.f64 x n)
Compiler

Compiled 209 to 80 computations (61.7% saved)

series515.0ms (0.5%)

Counts
17 → 280
Calls

84 calls:

TimeVariablePointExpression
345.0ms
x
@0
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n))
26.0ms
n
@0
(/.f64 (log.f64 x) n)
25.0ms
x
@-inf
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n))
21.0ms
x
@inf
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n))
13.0ms
x
@-inf
(-.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 2) (pow.f64 x (/.f64 2 n)))

rewrite187.0ms (0.2%)

Algorithm
batch-egg-rewrite
Rules
352×associate-*r*
249×log1p-expm1-u
249×expm1-log1p-u
240×add-exp-log
240×add-cube-cbrt
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
032439
1568436
Stop Event
node limit
Counts
17 → 619
Calls
Call 1
Inputs
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n))
(/.f64 (log.f64 x) n)
x
(-.f64 1 (pow.f64 x (/.f64 1 n)))
1
x
(-.f64 (log1p.f64 x) (log.f64 x))
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
x
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))
(log.f64 (exp.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))))
(/.f64 (log1p.f64 x) n)
(exp.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))))
(-.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 2) (pow.f64 x (/.f64 2 n)))
(/.f64 (log1p.f64 x) n)
(/.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 2) (pow.f64 x (/.f64 2 n))) (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))))
(pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 2)
Outputs
(-.f64 (exp.f64 (log1p.f64 (/.f64 (pow.f64 x (-.f64 (/.f64 1 n) 1)) n))) 1)
(*.f64 (/.f64 (pow.f64 x (-.f64 (/.f64 1 n) 1)) n) 1)
(*.f64 1 (/.f64 (pow.f64 x (-.f64 (/.f64 1 n) 1)) n))
(*.f64 (/.f64 1 n) (pow.f64 x (-.f64 (/.f64 1 n) 1)))
(*.f64 (pow.f64 x (/.f64 1 n)) (/.f64 (/.f64 1 x) n))
(*.f64 (cbrt.f64 (pow.f64 x (/.f64 2 n))) (*.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n))) (/.f64 (/.f64 1 x) n)))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 x (-.f64 (/.f64 1 n) 1)) n)) (pow.f64 (cbrt.f64 (/.f64 (pow.f64 x (-.f64 (/.f64 1 n) 1)) n)) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 x (-.f64 (/.f64 1 n) 1)) n)) 2) (cbrt.f64 (/.f64 (pow.f64 x (-.f64 (/.f64 1 n) 1)) n)))
(*.f64 (sqrt.f64 (pow.f64 x (/.f64 1 n))) (*.f64 (sqrt.f64 (pow.f64 x (/.f64 1 n))) (/.f64 (/.f64 1 x) n)))
(*.f64 (sqrt.f64 (/.f64 (pow.f64 x (-.f64 (/.f64 1 n) 1)) n)) (sqrt.f64 (/.f64 (pow.f64 x (-.f64 (/.f64 1 n) 1)) n)))
(*.f64 (/.f64 (/.f64 1 x) n) (pow.f64 x (/.f64 1 n)))
(*.f64 (neg.f64 (pow.f64 x (/.f64 1 n))) (/.f64 1 (*.f64 x (neg.f64 n))))
(*.f64 (pow.f64 x (-.f64 (/.f64 1 n) 1)) (/.f64 1 n))
(*.f64 (/.f64 1 x) (/.f64 (pow.f64 x (/.f64 1 n)) n))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x (/.f64 2 n))) 1) (/.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n))) (*.f64 x n)))
(*.f64 (/.f64 (sqrt.f64 (pow.f64 x (/.f64 1 n))) 1) (/.f64 (sqrt.f64 (pow.f64 x (/.f64 1 n))) (*.f64 x n)))
(*.f64 (/.f64 (sqrt.f64 (pow.f64 x (/.f64 1 n))) x) (/.f64 (sqrt.f64 (pow.f64 x (/.f64 1 n))) n))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 x n)) 2)) (/.f64 (pow.f64 x (/.f64 1 n)) (cbrt.f64 (*.f64 x n))))
(*.f64 (/.f64 1 (sqrt.f64 (*.f64 x n))) (/.f64 (pow.f64 x (/.f64 1 n)) (sqrt.f64 (*.f64 x n))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x (/.f64 2 n))) x) (/.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n))) n))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x (/.f64 2 n))) n) (/.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n))) x))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x (/.f64 2 n))) (pow.f64 (cbrt.f64 (*.f64 x n)) 2)) (cbrt.f64 (/.f64 (pow.f64 x (-.f64 (/.f64 1 n) 1)) n)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x (/.f64 2 n))) (sqrt.f64 (*.f64 x n))) (/.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n))) (sqrt.f64 (*.f64 x n))))
(*.f64 (/.f64 (sqrt.f64 (pow.f64 x (/.f64 1 n))) n) (/.f64 (sqrt.f64 (pow.f64 x (/.f64 1 n))) x))
(*.f64 (/.f64 (sqrt.f64 (pow.f64 x (/.f64 1 n))) (pow.f64 (cbrt.f64 (*.f64 x n)) 2)) (/.f64 (sqrt.f64 (pow.f64 x (/.f64 1 n))) (cbrt.f64 (*.f64 x n))))
(pow.f64 (/.f64 (pow.f64 x (-.f64 (/.f64 1 n) 1)) n) 1)
(pow.f64 (cbrt.f64 (/.f64 (pow.f64 x (-.f64 (/.f64 1 n) 1)) n)) 3)
(pow.f64 (pow.f64 (/.f64 (pow.f64 x (-.f64 (/.f64 1 n) 1)) n) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (pow.f64 x (-.f64 (/.f64 1 n) 1)) n)) 2)
(pow.f64 (/.f64 n (pow.f64 x (-.f64 (/.f64 1 n) 1))) -1)
(neg.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x (neg.f64 n))))
(sqrt.f64 (pow.f64 (/.f64 (pow.f64 x (-.f64 (/.f64 1 n) 1)) n) 2))
(log.f64 (exp.f64 (/.f64 (pow.f64 x (-.f64 (/.f64 1 n) 1)) n)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (pow.f64 x (-.f64 (/.f64 1 n) 1)) n))))
(cbrt.f64 (pow.f64 (/.f64 (pow.f64 x (-.f64 (/.f64 1 n) 1)) n) 3))
(cbrt.f64 (/.f64 (pow.f64 x (*.f64 (/.f64 1 n) 3)) (pow.f64 (*.f64 x n) 3)))
(expm1.f64 (log1p.f64 (/.f64 (pow.f64 x (-.f64 (/.f64 1 n) 1)) n)))
(exp.f64 (log.f64 (/.f64 (pow.f64 x (-.f64 (/.f64 1 n) 1)) n)))
(exp.f64 (*.f64 (log.f64 (/.f64 (pow.f64 x (-.f64 (/.f64 1 n) 1)) n)) 1))
(log1p.f64 (expm1.f64 (/.f64 (pow.f64 x (-.f64 (/.f64 1 n) 1)) n)))
(+.f64 0 (/.f64 (log.f64 x) n))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 x (/.f64 2 n)))) (log.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 x (/.f64 1 n)))) (log.f64 (sqrt.f64 (pow.f64 x (/.f64 1 n)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (log.f64 x) n))) 1)
(*.f64 (log.f64 x) (/.f64 1 n))
(*.f64 (/.f64 (log.f64 x) n) 1)
(*.f64 1 (/.f64 (log.f64 x) n))
(*.f64 (/.f64 1 n) (log.f64 x))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 x) 2)) (*.f64 (cbrt.f64 (log.f64 x)) (/.f64 1 n)))
(*.f64 (cbrt.f64 (/.f64 (log.f64 x) n)) (pow.f64 (cbrt.f64 (/.f64 (log.f64 x) n)) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 x) n)) 2) (cbrt.f64 (/.f64 (log.f64 x) n)))
(*.f64 (sqrt.f64 (log.f64 x)) (*.f64 (sqrt.f64 (log.f64 x)) (/.f64 1 n)))
(*.f64 (sqrt.f64 (/.f64 (log.f64 x) n)) (sqrt.f64 (/.f64 (log.f64 x) n)))
(*.f64 (pow.f64 n -1/2) (/.f64 (log.f64 x) (sqrt.f64 n)))
(*.f64 (neg.f64 (log.f64 x)) (/.f64 1 (neg.f64 n)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 n) 2)) (/.f64 (log.f64 x) (cbrt.f64 n)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (log.f64 x) 2)) 1) (/.f64 (cbrt.f64 (log.f64 x)) n))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (log.f64 x) 2)) (pow.f64 (cbrt.f64 n) 2)) (cbrt.f64 (/.f64 (log.f64 x) n)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (log.f64 x) 2)) (sqrt.f64 n)) (/.f64 (cbrt.f64 (log.f64 x)) (sqrt.f64 n)))
(*.f64 (/.f64 (sqrt.f64 (log.f64 x)) 1) (/.f64 (sqrt.f64 (log.f64 x)) n))
(*.f64 (/.f64 (sqrt.f64 (log.f64 x)) (pow.f64 (cbrt.f64 n) 2)) (/.f64 (sqrt.f64 (log.f64 x)) (cbrt.f64 n)))
(*.f64 (*.f64 (log.f64 x) (cbrt.f64 (pow.f64 n -2))) (/.f64 1 (cbrt.f64 n)))
(*.f64 (*.f64 (log.f64 x) (pow.f64 n -1/2)) (pow.f64 n -1/2))
(pow.f64 (/.f64 (log.f64 x) n) 1)
(pow.f64 (cbrt.f64 (/.f64 (log.f64 x) n)) 3)
(pow.f64 (pow.f64 (/.f64 (log.f64 x) n) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (log.f64 x) n)) 2)
(pow.f64 (/.f64 n (log.f64 x)) -1)
(neg.f64 (/.f64 (log.f64 x) (neg.f64 n)))
(sqrt.f64 (pow.f64 (/.f64 (log.f64 x) n) 2))
(log.f64 (pow.f64 x (/.f64 1 n)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (log.f64 x) n))))
(cbrt.f64 (pow.f64 (/.f64 (log.f64 x) n) 3))
(cbrt.f64 (*.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (/.f64 1 n) 3)))
(cbrt.f64 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3)))
(expm1.f64 (log1p.f64 (/.f64 (log.f64 x) n)))
(exp.f64 (log.f64 (/.f64 (log.f64 x) n)))
(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 x) n)) 1))
(log1p.f64 (expm1.f64 (/.f64 (log.f64 x) n)))
(-.f64 (+.f64 x 1) 1)
(*.f64 x 1)
(*.f64 1 x)
(*.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x))
(*.f64 (sqrt.f64 x) (sqrt.f64 x))
(pow.f64 x 1)
(pow.f64 (cbrt.f64 x) 3)
(pow.f64 (pow.f64 x 3) 1/3)
(pow.f64 (sqrt.f64 x) 2)
(pow.f64 (exp.f64 1) (log.f64 x))
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log.f64 x) 2))) (cbrt.f64 (log.f64 x)))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 x))) (sqrt.f64 (log.f64 x)))
(sqrt.f64 (pow.f64 x 2))
(log.f64 (exp.f64 x))
(log.f64 (+.f64 1 (expm1.f64 x)))
(cbrt.f64 (pow.f64 x 3))
(expm1.f64 (log1p.f64 x))
(exp.f64 (log.f64 x))
(log1p.f64 (expm1.f64 x))
(+.f64 1 (neg.f64 (pow.f64 x (/.f64 1 n))))
(+.f64 1 (*.f64 (neg.f64 (pow.f64 x (/.f64 1 n))) 1))
(+.f64 (neg.f64 (pow.f64 x (/.f64 1 n))) 1)
(*.f64 1 (-.f64 1 (pow.f64 x (/.f64 1 n))))
(*.f64 (-.f64 1 (pow.f64 x (/.f64 1 n))) 1)
(*.f64 (cbrt.f64 (-.f64 1 (pow.f64 x (/.f64 1 n)))) (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 x (/.f64 1 n)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 x (/.f64 1 n)))) 2) (cbrt.f64 (-.f64 1 (pow.f64 x (/.f64 1 n)))))
(*.f64 (sqrt.f64 (-.f64 1 (pow.f64 x (/.f64 1 n)))) (sqrt.f64 (-.f64 1 (pow.f64 x (/.f64 1 n)))))
(*.f64 (-.f64 1 (pow.f64 x (*.f64 (/.f64 1 n) 3))) (/.f64 1 (+.f64 1 (+.f64 (pow.f64 x (/.f64 1 n)) (pow.f64 x (/.f64 2 n))))))
(*.f64 (-.f64 1 (pow.f64 x (/.f64 2 n))) (/.f64 1 (+.f64 1 (pow.f64 x (/.f64 1 n)))))
(/.f64 1 (/.f64 (+.f64 1 (+.f64 (pow.f64 x (/.f64 1 n)) (pow.f64 x (/.f64 2 n)))) (-.f64 1 (pow.f64 x (*.f64 (/.f64 1 n) 3)))))
(/.f64 1 (/.f64 (+.f64 1 (pow.f64 x (/.f64 1 n))) (-.f64 1 (pow.f64 x (/.f64 2 n)))))
(/.f64 (-.f64 1 (pow.f64 x (*.f64 (/.f64 1 n) 3))) (+.f64 1 (+.f64 (pow.f64 x (/.f64 1 n)) (pow.f64 x (/.f64 2 n)))))
(/.f64 (-.f64 1 (pow.f64 x (/.f64 2 n))) (+.f64 1 (pow.f64 x (/.f64 1 n))))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 x (*.f64 (/.f64 1 n) 3)))) (neg.f64 (+.f64 1 (+.f64 (pow.f64 x (/.f64 1 n)) (pow.f64 x (/.f64 2 n))))))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 x (/.f64 2 n)))) (neg.f64 (+.f64 1 (pow.f64 x (/.f64 1 n)))))
(/.f64 (+.f64 1 (pow.f64 (neg.f64 (pow.f64 x (/.f64 1 n))) 3)) (+.f64 1 (-.f64 (*.f64 (neg.f64 (pow.f64 x (/.f64 1 n))) (neg.f64 (pow.f64 x (/.f64 1 n)))) (neg.f64 (pow.f64 x (/.f64 1 n))))))
(/.f64 (-.f64 1 (*.f64 (neg.f64 (pow.f64 x (/.f64 1 n))) (neg.f64 (pow.f64 x (/.f64 1 n))))) (-.f64 1 (neg.f64 (pow.f64 x (/.f64 1 n)))))
(pow.f64 (-.f64 1 (pow.f64 x (/.f64 1 n))) 1)
(pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 x (/.f64 1 n)))) 3)
(pow.f64 (pow.f64 (-.f64 1 (pow.f64 x (/.f64 1 n))) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 1 (pow.f64 x (/.f64 1 n)))) 2)
(sqrt.f64 (pow.f64 (-.f64 1 (pow.f64 x (/.f64 1 n))) 2))
(log.f64 (exp.f64 (-.f64 1 (pow.f64 x (/.f64 1 n)))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 1 (pow.f64 x (/.f64 1 n))))))
(cbrt.f64 (pow.f64 (-.f64 1 (pow.f64 x (/.f64 1 n))) 3))
(expm1.f64 (log1p.f64 (-.f64 1 (pow.f64 x (/.f64 1 n)))))
(exp.f64 (log1p.f64 (neg.f64 (pow.f64 x (/.f64 1 n)))))
(exp.f64 (*.f64 (log1p.f64 (neg.f64 (pow.f64 x (/.f64 1 n)))) 1))
(log1p.f64 (expm1.f64 (-.f64 1 (pow.f64 x (/.f64 1 n)))))
(-.f64 (+.f64 x 1) 1)
(*.f64 x 1)
(*.f64 1 x)
(*.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x))
(*.f64 (sqrt.f64 x) (sqrt.f64 x))
(pow.f64 x 1)
(pow.f64 (cbrt.f64 x) 3)
(pow.f64 (pow.f64 x 3) 1/3)
(pow.f64 (sqrt.f64 x) 2)
(pow.f64 (exp.f64 1) (log.f64 x))
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log.f64 x) 2))) (cbrt.f64 (log.f64 x)))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 x))) (sqrt.f64 (log.f64 x)))
(sqrt.f64 (pow.f64 x 2))
(log.f64 (exp.f64 x))
(log.f64 (+.f64 1 (expm1.f64 x)))
(cbrt.f64 (pow.f64 x 3))
(expm1.f64 (log1p.f64 x))
(exp.f64 (log.f64 x))
(log1p.f64 (expm1.f64 x))
(+.f64 (log1p.f64 x) (neg.f64 (log.f64 x)))
(+.f64 (log1p.f64 x) (*.f64 (neg.f64 (log.f64 x)) 1))
(+.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (fma.f64 (neg.f64 (log.f64 x)) 1 (log.f64 x)))
(+.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 x))) (cbrt.f64 (pow.f64 (log.f64 x) 2)) (log.f64 x)))
(+.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 (log.f64 x))) (sqrt.f64 (log.f64 x)) (log.f64 x)))
(+.f64 (neg.f64 (log.f64 x)) (log1p.f64 x))
(*.f64 1 (-.f64 (log1p.f64 x) (log.f64 x)))
(*.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 1)
(*.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 2) (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))))
(*.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))))
(*.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3)) (/.f64 1 (+.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 (log.f64 x) (+.f64 (log.f64 x) (log1p.f64 x))))))
(*.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2)) (/.f64 1 (+.f64 (log.f64 x) (log1p.f64 x))))
(*.f64 (+.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log.f64 x))) (-.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log.f64 x))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 (log.f64 x) (+.f64 (log.f64 x) (log1p.f64 x)))) (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3))))
(/.f64 1 (/.f64 (+.f64 (log.f64 x) (log1p.f64 x)) (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3)) (+.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 (log.f64 x) (+.f64 (log.f64 x) (log1p.f64 x)))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2)) (+.f64 (log.f64 x) (log1p.f64 x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3))) (neg.f64 (+.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 (log.f64 x) (+.f64 (log.f64 x) (log1p.f64 x))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2))) (neg.f64 (+.f64 (log.f64 x) (log1p.f64 x))))
(/.f64 (+.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (neg.f64 (log.f64 x)) 3)) (+.f64 (pow.f64 (log1p.f64 x) 2) (-.f64 (*.f64 (neg.f64 (log.f64 x)) (neg.f64 (log.f64 x))) (*.f64 (log1p.f64 x) (neg.f64 (log.f64 x))))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 (neg.f64 (log.f64 x)) (neg.f64 (log.f64 x)))) (-.f64 (log1p.f64 x) (neg.f64 (log.f64 x))))
(pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 1)
(pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 3)
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(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 x (/.f64 1 n)) (exp.f64 (/.f64 (log1p.f64 x) n)))) 2)) (/.f64 (-.f64 (exp.f64 (*.f64 (log1p.f64 x) (/.f64 2 n))) (pow.f64 x (/.f64 2 n))) (cbrt.f64 (+.f64 (pow.f64 x (/.f64 1 n)) (exp.f64 (/.f64 (log1p.f64 x) n))))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 (pow.f64 x (/.f64 1 n)) (exp.f64 (/.f64 (log1p.f64 x) n))))) (/.f64 (-.f64 (exp.f64 (*.f64 (log1p.f64 x) (/.f64 2 n))) (pow.f64 x (/.f64 2 n))) (sqrt.f64 (+.f64 (pow.f64 x (/.f64 1 n)) (exp.f64 (/.f64 (log1p.f64 x) n))))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (exp.f64 (*.f64 (log1p.f64 x) (/.f64 2 n))) (pow.f64 x (/.f64 2 n)))) 2) 1) (/.f64 (cbrt.f64 (-.f64 (exp.f64 (*.f64 (log1p.f64 x) (/.f64 2 n))) (pow.f64 x (/.f64 2 n)))) (+.f64 (pow.f64 x (/.f64 1 n)) (exp.f64 (/.f64 (log1p.f64 x) n)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (exp.f64 (*.f64 (log1p.f64 x) (/.f64 2 n))) (pow.f64 x (/.f64 2 n)))) 2) (pow.f64 (cbrt.f64 (+.f64 (pow.f64 x (/.f64 1 n)) (exp.f64 (/.f64 (log1p.f64 x) n)))) 2)) (cbrt.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (exp.f64 (*.f64 (log1p.f64 x) (/.f64 2 n))) (pow.f64 x (/.f64 2 n)))) 2) (sqrt.f64 (+.f64 (pow.f64 x (/.f64 1 n)) (exp.f64 (/.f64 (log1p.f64 x) n))))) (/.f64 (cbrt.f64 (-.f64 (exp.f64 (*.f64 (log1p.f64 x) (/.f64 2 n))) (pow.f64 x (/.f64 2 n)))) (sqrt.f64 (+.f64 (pow.f64 x (/.f64 1 n)) (exp.f64 (/.f64 (log1p.f64 x) n))))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 (exp.f64 (*.f64 (log1p.f64 x) (/.f64 2 n))) (pow.f64 x (/.f64 2 n)))) 1) (/.f64 (sqrt.f64 (-.f64 (exp.f64 (*.f64 (log1p.f64 x) (/.f64 2 n))) (pow.f64 x (/.f64 2 n)))) (+.f64 (pow.f64 x (/.f64 1 n)) (exp.f64 (/.f64 (log1p.f64 x) n)))))
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(*.f64 (+.f64 (sqrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))) (sqrt.f64 (pow.f64 x (/.f64 1 n)))) (-.f64 (sqrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))) (sqrt.f64 (pow.f64 x (/.f64 1 n)))))
(*.f64 (/.f64 (-.f64 (exp.f64 (*.f64 (log1p.f64 x) (/.f64 2 n))) (pow.f64 x (/.f64 2 n))) (+.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 3) (pow.f64 x (*.f64 (/.f64 1 n) 3)))) (-.f64 (+.f64 (exp.f64 (*.f64 (log1p.f64 x) (/.f64 2 n))) (pow.f64 x (/.f64 2 n))) (exp.f64 (+.f64 (/.f64 (log1p.f64 x) n) (/.f64 (log.f64 x) n)))))
(*.f64 (/.f64 (-.f64 (exp.f64 (*.f64 (log1p.f64 x) (/.f64 2 n))) (pow.f64 x (/.f64 2 n))) (-.f64 (exp.f64 (*.f64 (log1p.f64 x) (/.f64 2 n))) (pow.f64 x (/.f64 2 n)))) (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))))
(pow.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))) 1)
(pow.f64 (cbrt.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))) 3)
(pow.f64 (pow.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))) 2)
(pow.f64 (/.f64 1 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))) -1)
(neg.f64 (/.f64 (-.f64 (exp.f64 (*.f64 (log1p.f64 x) (/.f64 2 n))) (pow.f64 x (/.f64 2 n))) (neg.f64 (+.f64 (pow.f64 x (/.f64 1 n)) (exp.f64 (/.f64 (log1p.f64 x) n))))))
(sqrt.f64 (pow.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))) 2))
(log.f64 (exp.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))))))
(cbrt.f64 (pow.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))) 3))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 (exp.f64 (*.f64 (log1p.f64 x) (/.f64 2 n))) (pow.f64 x (/.f64 2 n))) 3) (pow.f64 (+.f64 (pow.f64 x (/.f64 1 n)) (exp.f64 (/.f64 (log1p.f64 x) n))) 3)))
(expm1.f64 (log1p.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))))
(exp.f64 (log.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))))
(exp.f64 (*.f64 (log.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))) 1))
(log1p.f64 (expm1.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))))
(fma.f64 1 (exp.f64 (/.f64 (log1p.f64 x) n)) (neg.f64 (pow.f64 x (/.f64 1 n))))
(fma.f64 (cbrt.f64 (exp.f64 (*.f64 (log1p.f64 x) (/.f64 2 n)))) (cbrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))) (neg.f64 (pow.f64 x (/.f64 1 n))))
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(-.f64 (exp.f64 (log1p.f64 (exp.f64 (*.f64 (log1p.f64 x) (/.f64 2 n))))) 1)
(*.f64 1 (exp.f64 (*.f64 (log1p.f64 x) (/.f64 2 n))))
(*.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (exp.f64 (/.f64 (log1p.f64 x) n)))
(*.f64 (exp.f64 (*.f64 (log1p.f64 x) (/.f64 2 n))) 1)
(*.f64 (cbrt.f64 (exp.f64 (*.f64 (log1p.f64 x) (/.f64 2 n)))) (cbrt.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 4)))
(*.f64 (cbrt.f64 (exp.f64 (*.f64 (log1p.f64 x) (/.f64 2 n)))) (*.f64 (cbrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))) (exp.f64 (/.f64 (log1p.f64 x) n))))
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(*.f64 (*.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (sqrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n)))) (sqrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))))
(*.f64 (*.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (cbrt.f64 (exp.f64 (*.f64 (log1p.f64 x) (/.f64 2 n))))) (cbrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))))
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(log.f64 (+.f64 1 (expm1.f64 (exp.f64 (*.f64 (log1p.f64 x) (/.f64 2 n))))))
(cbrt.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 6))
(expm1.f64 (log1p.f64 (exp.f64 (*.f64 (log1p.f64 x) (/.f64 2 n)))))
(exp.f64 (*.f64 (log1p.f64 x) (/.f64 2 n)))
(exp.f64 (*.f64 (*.f64 (log1p.f64 x) (/.f64 2 n)) 1))
(log1p.f64 (expm1.f64 (exp.f64 (*.f64 (log1p.f64 x) (/.f64 2 n)))))

simplify929.0ms (1%)

Algorithm
egg-herbie
Rules
1534×times-frac
748×sub-neg
736×*-commutative
590×+-commutative
400×associate-*r/
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0163973686
1483069766
Stop Event
node limit
Counts
899 → 911
Calls
Call 1
Inputs
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n x))
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n x))
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n x))
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n x))
(/.f64 (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (*.f64 n x))
(/.f64 (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (*.f64 n x))
(/.f64 (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (*.f64 n x))
(/.f64 (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (*.f64 n x))
(/.f64 (exp.f64 (/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))) n)) (*.f64 n x))
(/.f64 (exp.f64 (/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))) n)) (*.f64 n x))
(/.f64 (exp.f64 (/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))) n)) (*.f64 n x))
(/.f64 (exp.f64 (/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))) n)) (*.f64 n x))
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n x))
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n x))
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n x))
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n x))
(/.f64 1 (*.f64 n x))
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(/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))) n)
(-.f64 1 (exp.f64 (/.f64 (log.f64 x) n)))
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(-.f64 (/.f64 1 x) (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)) (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))
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(+.f64 (*.f64 -1 (/.f64 (log.f64 x) n)) (/.f64 x n))
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(-.f64 (/.f64 1 (*.f64 n x)) (*.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2)))))
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(/.f64 1 (*.f64 n x))
(-.f64 (/.f64 1 (*.f64 n x)) (*.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2)))))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (*.f64 n (pow.f64 x 3)))) (/.f64 1 (*.f64 n x))) (*.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2)))))
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(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n)
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n)
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n)
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n)
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n)
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n)
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n)
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n)
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n)
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n)
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n)
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n)
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1
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1
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1
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1
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(*.f64 (/.f64 1 n) (log1p.f64 x))
(*.f64 (log1p.f64 x) (/.f64 1 n))
(*.f64 (/.f64 (log1p.f64 x) n) 1)
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (*.f64 (cbrt.f64 (log1p.f64 x)) (/.f64 1 n)))
(*.f64 (cbrt.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 x) n)) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 x) n)) 2) (cbrt.f64 (/.f64 (log1p.f64 x) n)))
(*.f64 (sqrt.f64 (log1p.f64 x)) (*.f64 (sqrt.f64 (log1p.f64 x)) (/.f64 1 n)))
(*.f64 (sqrt.f64 (/.f64 (log1p.f64 x) n)) (sqrt.f64 (/.f64 (log1p.f64 x) n)))
(*.f64 (pow.f64 n -1/2) (/.f64 (log1p.f64 x) (sqrt.f64 n)))
(*.f64 (neg.f64 (log1p.f64 x)) (/.f64 1 (neg.f64 n)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 n) 2)) (/.f64 (log1p.f64 x) (cbrt.f64 n)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) 1) (/.f64 (cbrt.f64 (log1p.f64 x)) n))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (pow.f64 (cbrt.f64 n) 2)) (cbrt.f64 (/.f64 (log1p.f64 x) n)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (sqrt.f64 n)) (/.f64 (cbrt.f64 (log1p.f64 x)) (sqrt.f64 n)))
(*.f64 (/.f64 (sqrt.f64 (log1p.f64 x)) 1) (/.f64 (sqrt.f64 (log1p.f64 x)) n))
(*.f64 (/.f64 (sqrt.f64 (log1p.f64 x)) (pow.f64 (cbrt.f64 n) 2)) (/.f64 (sqrt.f64 (log1p.f64 x)) (cbrt.f64 n)))
(*.f64 (*.f64 (log1p.f64 x) (cbrt.f64 (pow.f64 n -2))) (/.f64 1 (cbrt.f64 n)))
(*.f64 (*.f64 (log1p.f64 x) (pow.f64 n -1/2)) (pow.f64 n -1/2))
(pow.f64 (/.f64 (log1p.f64 x) n) 1)
(pow.f64 (cbrt.f64 (/.f64 (log1p.f64 x) n)) 3)
(pow.f64 (pow.f64 (/.f64 (log1p.f64 x) n) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (log1p.f64 x) n)) 2)
(pow.f64 (/.f64 n (log1p.f64 x)) -1)
(neg.f64 (/.f64 (log1p.f64 x) (neg.f64 n)))
(sqrt.f64 (pow.f64 (/.f64 (log1p.f64 x) n) 2))
(log.f64 (exp.f64 (/.f64 (log1p.f64 x) n)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (log1p.f64 x) n))))
(cbrt.f64 (pow.f64 (/.f64 (log1p.f64 x) n) 3))
(cbrt.f64 (*.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (/.f64 1 n) 3)))
(cbrt.f64 (/.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 n 3)))
(expm1.f64 (log1p.f64 (/.f64 (log1p.f64 x) n)))
(exp.f64 (log.f64 (/.f64 (log1p.f64 x) n)))
(exp.f64 (*.f64 (log.f64 (/.f64 (log1p.f64 x) n)) 1))
(log1p.f64 (expm1.f64 (/.f64 (log1p.f64 x) n)))
(+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (neg.f64 (pow.f64 x (/.f64 1 n))))
(+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (*.f64 (neg.f64 (pow.f64 x (/.f64 1 n))) 1))
(+.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))) (fma.f64 (neg.f64 (pow.f64 x (/.f64 1 n))) 1 (pow.f64 x (/.f64 1 n))))
(+.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))) (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n)))) (cbrt.f64 (pow.f64 x (/.f64 2 n))) (pow.f64 x (/.f64 1 n))))
(+.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))) (fma.f64 (neg.f64 (sqrt.f64 (pow.f64 x (/.f64 1 n)))) (sqrt.f64 (pow.f64 x (/.f64 1 n))) (pow.f64 x (/.f64 1 n))))
(+.f64 0 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))))
(+.f64 (/.f64 (exp.f64 (*.f64 (log1p.f64 x) (/.f64 2 n))) (+.f64 (pow.f64 x (/.f64 1 n)) (exp.f64 (/.f64 (log1p.f64 x) n)))) (neg.f64 (/.f64 (pow.f64 x (/.f64 2 n)) (+.f64 (pow.f64 x (/.f64 1 n)) (exp.f64 (/.f64 (log1p.f64 x) n))))))
(+.f64 (neg.f64 (pow.f64 x (/.f64 1 n))) (exp.f64 (/.f64 (log1p.f64 x) n)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))))))
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))
(-.f64 (/.f64 (exp.f64 (*.f64 (log1p.f64 x) (/.f64 2 n))) (+.f64 (pow.f64 x (/.f64 1 n)) (exp.f64 (/.f64 (log1p.f64 x) n)))) (/.f64 (pow.f64 x (/.f64 2 n)) (+.f64 (pow.f64 x (/.f64 1 n)) (exp.f64 (/.f64 (log1p.f64 x) n)))))
(-.f64 (exp.f64 (log1p.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))))) 1)
(-.f64 (/.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 3) (+.f64 (exp.f64 (*.f64 (log1p.f64 x) (/.f64 2 n))) (+.f64 (pow.f64 x (/.f64 2 n)) (exp.f64 (+.f64 (/.f64 (log1p.f64 x) n) (/.f64 (log.f64 x) n)))))) (/.f64 (pow.f64 x (*.f64 (/.f64 1 n) 3)) (+.f64 (exp.f64 (*.f64 (log1p.f64 x) (/.f64 2 n))) (+.f64 (pow.f64 x (/.f64 2 n)) (exp.f64 (+.f64 (/.f64 (log1p.f64 x) n) (/.f64 (log.f64 x) n)))))))
(*.f64 1 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))))
(*.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))) 1)
(*.f64 (-.f64 (exp.f64 (*.f64 (log1p.f64 x) (/.f64 2 n))) (pow.f64 x (/.f64 2 n))) (/.f64 1 (+.f64 (pow.f64 x (/.f64 1 n)) (exp.f64 (/.f64 (log1p.f64 x) n)))))
(*.f64 (cbrt.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))) (pow.f64 (cbrt.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))) 2) (cbrt.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (exp.f64 (*.f64 (log1p.f64 x) (/.f64 2 n))) (pow.f64 x (/.f64 2 n)))) 2) (*.f64 (cbrt.f64 (-.f64 (exp.f64 (*.f64 (log1p.f64 x) (/.f64 2 n))) (pow.f64 x (/.f64 2 n)))) (/.f64 1 (+.f64 (pow.f64 x (/.f64 1 n)) (exp.f64 (/.f64 (log1p.f64 x) n))))))
(*.f64 (sqrt.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))) (sqrt.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))))
(*.f64 (sqrt.f64 (-.f64 (exp.f64 (*.f64 (log1p.f64 x) (/.f64 2 n))) (pow.f64 x (/.f64 2 n)))) (*.f64 (sqrt.f64 (-.f64 (exp.f64 (*.f64 (log1p.f64 x) (/.f64 2 n))) (pow.f64 x (/.f64 2 n)))) (/.f64 1 (+.f64 (pow.f64 x (/.f64 1 n)) (exp.f64 (/.f64 (log1p.f64 x) n))))))
(*.f64 (neg.f64 (-.f64 (exp.f64 (*.f64 (log1p.f64 x) (/.f64 2 n))) (pow.f64 x (/.f64 2 n)))) (/.f64 1 (neg.f64 (+.f64 (pow.f64 x (/.f64 1 n)) (exp.f64 (/.f64 (log1p.f64 x) n))))))
(*.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 3) (pow.f64 x (*.f64 (/.f64 1 n) 3))) (/.f64 1 (+.f64 (exp.f64 (*.f64 (log1p.f64 x) (/.f64 2 n))) (+.f64 (pow.f64 x (/.f64 2 n)) (exp.f64 (+.f64 (/.f64 (log1p.f64 x) n) (/.f64 (log.f64 x) n)))))))
(*.f64 (/.f64 1 (+.f64 (pow.f64 x (/.f64 1 n)) (exp.f64 (/.f64 (log1p.f64 x) n)))) (-.f64 (exp.f64 (*.f64 (log1p.f64 x) (/.f64 2 n))) (pow.f64 x (/.f64 2 n))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 x (/.f64 1 n)) (exp.f64 (/.f64 (log1p.f64 x) n)))) 2)) (/.f64 (-.f64 (exp.f64 (*.f64 (log1p.f64 x) (/.f64 2 n))) (pow.f64 x (/.f64 2 n))) (cbrt.f64 (+.f64 (pow.f64 x (/.f64 1 n)) (exp.f64 (/.f64 (log1p.f64 x) n))))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 (pow.f64 x (/.f64 1 n)) (exp.f64 (/.f64 (log1p.f64 x) n))))) (/.f64 (-.f64 (exp.f64 (*.f64 (log1p.f64 x) (/.f64 2 n))) (pow.f64 x (/.f64 2 n))) (sqrt.f64 (+.f64 (pow.f64 x (/.f64 1 n)) (exp.f64 (/.f64 (log1p.f64 x) n))))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (exp.f64 (*.f64 (log1p.f64 x) (/.f64 2 n))) (pow.f64 x (/.f64 2 n)))) 2) 1) (/.f64 (cbrt.f64 (-.f64 (exp.f64 (*.f64 (log1p.f64 x) (/.f64 2 n))) (pow.f64 x (/.f64 2 n)))) (+.f64 (pow.f64 x (/.f64 1 n)) (exp.f64 (/.f64 (log1p.f64 x) n)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (exp.f64 (*.f64 (log1p.f64 x) (/.f64 2 n))) (pow.f64 x (/.f64 2 n)))) 2) (pow.f64 (cbrt.f64 (+.f64 (pow.f64 x (/.f64 1 n)) (exp.f64 (/.f64 (log1p.f64 x) n)))) 2)) (cbrt.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (exp.f64 (*.f64 (log1p.f64 x) (/.f64 2 n))) (pow.f64 x (/.f64 2 n)))) 2) (sqrt.f64 (+.f64 (pow.f64 x (/.f64 1 n)) (exp.f64 (/.f64 (log1p.f64 x) n))))) (/.f64 (cbrt.f64 (-.f64 (exp.f64 (*.f64 (log1p.f64 x) (/.f64 2 n))) (pow.f64 x (/.f64 2 n)))) (sqrt.f64 (+.f64 (pow.f64 x (/.f64 1 n)) (exp.f64 (/.f64 (log1p.f64 x) n))))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 (exp.f64 (*.f64 (log1p.f64 x) (/.f64 2 n))) (pow.f64 x (/.f64 2 n)))) 1) (/.f64 (sqrt.f64 (-.f64 (exp.f64 (*.f64 (log1p.f64 x) (/.f64 2 n))) (pow.f64 x (/.f64 2 n)))) (+.f64 (pow.f64 x (/.f64 1 n)) (exp.f64 (/.f64 (log1p.f64 x) n)))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 (exp.f64 (*.f64 (log1p.f64 x) (/.f64 2 n))) (pow.f64 x (/.f64 2 n)))) (pow.f64 (cbrt.f64 (+.f64 (pow.f64 x (/.f64 1 n)) (exp.f64 (/.f64 (log1p.f64 x) n)))) 2)) (/.f64 (sqrt.f64 (-.f64 (exp.f64 (*.f64 (log1p.f64 x) (/.f64 2 n))) (pow.f64 x (/.f64 2 n)))) (cbrt.f64 (+.f64 (pow.f64 x (/.f64 1 n)) (exp.f64 (/.f64 (log1p.f64 x) n))))))
(*.f64 (+.f64 (sqrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))) (sqrt.f64 (pow.f64 x (/.f64 1 n)))) (-.f64 (sqrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))) (sqrt.f64 (pow.f64 x (/.f64 1 n)))))
(*.f64 (/.f64 (-.f64 (exp.f64 (*.f64 (log1p.f64 x) (/.f64 2 n))) (pow.f64 x (/.f64 2 n))) (+.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 3) (pow.f64 x (*.f64 (/.f64 1 n) 3)))) (-.f64 (+.f64 (exp.f64 (*.f64 (log1p.f64 x) (/.f64 2 n))) (pow.f64 x (/.f64 2 n))) (exp.f64 (+.f64 (/.f64 (log1p.f64 x) n) (/.f64 (log.f64 x) n)))))
(*.f64 (/.f64 (-.f64 (exp.f64 (*.f64 (log1p.f64 x) (/.f64 2 n))) (pow.f64 x (/.f64 2 n))) (-.f64 (exp.f64 (*.f64 (log1p.f64 x) (/.f64 2 n))) (pow.f64 x (/.f64 2 n)))) (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))))
(pow.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))) 1)
(pow.f64 (cbrt.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))) 3)
(pow.f64 (pow.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))) 2)
(pow.f64 (/.f64 1 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))) -1)
(neg.f64 (/.f64 (-.f64 (exp.f64 (*.f64 (log1p.f64 x) (/.f64 2 n))) (pow.f64 x (/.f64 2 n))) (neg.f64 (+.f64 (pow.f64 x (/.f64 1 n)) (exp.f64 (/.f64 (log1p.f64 x) n))))))
(sqrt.f64 (pow.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))) 2))
(log.f64 (exp.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))))))
(cbrt.f64 (pow.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))) 3))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 (exp.f64 (*.f64 (log1p.f64 x) (/.f64 2 n))) (pow.f64 x (/.f64 2 n))) 3) (pow.f64 (+.f64 (pow.f64 x (/.f64 1 n)) (exp.f64 (/.f64 (log1p.f64 x) n))) 3)))
(expm1.f64 (log1p.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))))
(exp.f64 (log.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))))
(exp.f64 (*.f64 (log.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))) 1))
(log1p.f64 (expm1.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))))
(fma.f64 1 (exp.f64 (/.f64 (log1p.f64 x) n)) (neg.f64 (pow.f64 x (/.f64 1 n))))
(fma.f64 (cbrt.f64 (exp.f64 (*.f64 (log1p.f64 x) (/.f64 2 n)))) (cbrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))) (neg.f64 (pow.f64 x (/.f64 1 n))))
(fma.f64 (sqrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))) (sqrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))) (neg.f64 (pow.f64 x (/.f64 1 n))))
(-.f64 (exp.f64 (log1p.f64 (exp.f64 (*.f64 (log1p.f64 x) (/.f64 2 n))))) 1)
(*.f64 1 (exp.f64 (*.f64 (log1p.f64 x) (/.f64 2 n))))
(*.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (exp.f64 (/.f64 (log1p.f64 x) n)))
(*.f64 (exp.f64 (*.f64 (log1p.f64 x) (/.f64 2 n))) 1)
(*.f64 (cbrt.f64 (exp.f64 (*.f64 (log1p.f64 x) (/.f64 2 n)))) (cbrt.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 4)))
(*.f64 (cbrt.f64 (exp.f64 (*.f64 (log1p.f64 x) (/.f64 2 n)))) (*.f64 (cbrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))) (exp.f64 (/.f64 (log1p.f64 x) n))))
(*.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 4)) (cbrt.f64 (exp.f64 (*.f64 (log1p.f64 x) (/.f64 2 n)))))
(*.f64 (sqrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))) (*.f64 (sqrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))) (exp.f64 (/.f64 (log1p.f64 x) n))))
(*.f64 (*.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (sqrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n)))) (sqrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))))
(*.f64 (*.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (cbrt.f64 (exp.f64 (*.f64 (log1p.f64 x) (/.f64 2 n))))) (cbrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))))
(sqrt.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 4))
(log.f64 (exp.f64 (exp.f64 (*.f64 (log1p.f64 x) (/.f64 2 n)))))
(log.f64 (+.f64 1 (expm1.f64 (exp.f64 (*.f64 (log1p.f64 x) (/.f64 2 n))))))
(cbrt.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 6))
(expm1.f64 (log1p.f64 (exp.f64 (*.f64 (log1p.f64 x) (/.f64 2 n)))))
(exp.f64 (*.f64 (log1p.f64 x) (/.f64 2 n)))
(exp.f64 (*.f64 (*.f64 (log1p.f64 x) (/.f64 2 n)) 1))
(log1p.f64 (expm1.f64 (exp.f64 (*.f64 (log1p.f64 x) (/.f64 2 n)))))
Outputs
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n x))
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n))
(/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n))
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n x))
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n))
(/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n))
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n x))
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n))
(/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n))
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n x))
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n))
(/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n))
(/.f64 (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (*.f64 n x))
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n))
(/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n))
(/.f64 (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (*.f64 n x))
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n))
(/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n))
(/.f64 (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (*.f64 n x))
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n))
(/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n))
(/.f64 (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (*.f64 n x))
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(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (exp.f64 (/.f64 (log.f64 x) n)))
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))
(pow.f64 (pow.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))) 3) 1/3)
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (exp.f64 (/.f64 (log.f64 x) n)))
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))
(pow.f64 (sqrt.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))) 2)
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (exp.f64 (/.f64 (log.f64 x) n)))
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))
(pow.f64 (/.f64 1 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))) -1)
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (exp.f64 (/.f64 (log.f64 x) n)))
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))
(neg.f64 (/.f64 (-.f64 (exp.f64 (*.f64 (log1p.f64 x) (/.f64 2 n))) (pow.f64 x (/.f64 2 n))) (neg.f64 (+.f64 (pow.f64 x (/.f64 1 n)) (exp.f64 (/.f64 (log1p.f64 x) n))))))
(/.f64 (-.f64 (pow.f64 (exp.f64 (log1p.f64 x)) (/.f64 2 n)) (pow.f64 x (/.f64 2 n))) (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))))
(/.f64 (-.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) (pow.f64 x (/.f64 2 n))) (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))))
(sqrt.f64 (pow.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))) 2))
(fabs.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))))
(log.f64 (exp.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))))
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (exp.f64 (/.f64 (log.f64 x) n)))
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))))))
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (exp.f64 (/.f64 (log.f64 x) n)))
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))
(cbrt.f64 (pow.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))) 3))
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (exp.f64 (/.f64 (log.f64 x) n)))
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 (exp.f64 (*.f64 (log1p.f64 x) (/.f64 2 n))) (pow.f64 x (/.f64 2 n))) 3) (pow.f64 (+.f64 (pow.f64 x (/.f64 1 n)) (exp.f64 (/.f64 (log1p.f64 x) n))) 3)))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 (pow.f64 (exp.f64 (log1p.f64 x)) (/.f64 2 n)) (pow.f64 x (/.f64 2 n))) 3) (pow.f64 (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))) 3)))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) (pow.f64 x (/.f64 2 n))) 3) (pow.f64 (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))) 3)))
(expm1.f64 (log1p.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))))
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (exp.f64 (/.f64 (log.f64 x) n)))
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))
(exp.f64 (log.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))))
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (exp.f64 (/.f64 (log.f64 x) n)))
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))
(exp.f64 (*.f64 (log.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))) 1))
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (exp.f64 (/.f64 (log.f64 x) n)))
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))
(log1p.f64 (expm1.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))))
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (exp.f64 (/.f64 (log.f64 x) n)))
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))
(fma.f64 1 (exp.f64 (/.f64 (log1p.f64 x) n)) (neg.f64 (pow.f64 x (/.f64 1 n))))
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (exp.f64 (/.f64 (log.f64 x) n)))
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))
(fma.f64 (cbrt.f64 (exp.f64 (*.f64 (log1p.f64 x) (/.f64 2 n)))) (cbrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))) (neg.f64 (pow.f64 x (/.f64 1 n))))
(fma.f64 (cbrt.f64 (pow.f64 (exp.f64 (log1p.f64 x)) (/.f64 2 n))) (cbrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))) (neg.f64 (pow.f64 x (/.f64 1 n))))
(-.f64 (*.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n))) (cbrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n)))) (pow.f64 x (/.f64 1 n)))
(fma.f64 (sqrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))) (sqrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))) (neg.f64 (pow.f64 x (/.f64 1 n))))
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (exp.f64 (/.f64 (log.f64 x) n)))
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))
(-.f64 (exp.f64 (log1p.f64 (exp.f64 (*.f64 (log1p.f64 x) (/.f64 2 n))))) 1)
(pow.f64 (exp.f64 (log1p.f64 x)) (/.f64 2 n))
(pow.f64 (+.f64 x 1) (/.f64 2 n))
(*.f64 1 (exp.f64 (*.f64 (log1p.f64 x) (/.f64 2 n))))
(pow.f64 (exp.f64 (log1p.f64 x)) (/.f64 2 n))
(pow.f64 (+.f64 x 1) (/.f64 2 n))
(*.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (exp.f64 (/.f64 (log1p.f64 x) n)))
(pow.f64 (exp.f64 (log1p.f64 x)) (/.f64 2 n))
(pow.f64 (+.f64 x 1) (/.f64 2 n))
(*.f64 (exp.f64 (*.f64 (log1p.f64 x) (/.f64 2 n))) 1)
(pow.f64 (exp.f64 (log1p.f64 x)) (/.f64 2 n))
(pow.f64 (+.f64 x 1) (/.f64 2 n))
(*.f64 (cbrt.f64 (exp.f64 (*.f64 (log1p.f64 x) (/.f64 2 n)))) (cbrt.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 4)))
(*.f64 (cbrt.f64 (pow.f64 (exp.f64 (log1p.f64 x)) (/.f64 2 n))) (cbrt.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 4)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n))) (cbrt.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 4)))
(*.f64 (cbrt.f64 (exp.f64 (*.f64 (log1p.f64 x) (/.f64 2 n)))) (*.f64 (cbrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))) (exp.f64 (/.f64 (log1p.f64 x) n))))
(*.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (log1p.f64 x)) (/.f64 2 n))) (cbrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n)))) (exp.f64 (/.f64 (log1p.f64 x) n)))
(*.f64 (*.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n))) (cbrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n)))) (exp.f64 (/.f64 (log1p.f64 x) n)))
(*.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 4)) (cbrt.f64 (exp.f64 (*.f64 (log1p.f64 x) (/.f64 2 n)))))
(*.f64 (cbrt.f64 (pow.f64 (exp.f64 (log1p.f64 x)) (/.f64 2 n))) (cbrt.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 4)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n))) (cbrt.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 4)))
(*.f64 (sqrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))) (*.f64 (sqrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))) (exp.f64 (/.f64 (log1p.f64 x) n))))
(pow.f64 (exp.f64 (log1p.f64 x)) (/.f64 2 n))
(pow.f64 (+.f64 x 1) (/.f64 2 n))
(*.f64 (*.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (sqrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n)))) (sqrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))))
(pow.f64 (exp.f64 (log1p.f64 x)) (/.f64 2 n))
(pow.f64 (+.f64 x 1) (/.f64 2 n))
(*.f64 (*.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (cbrt.f64 (exp.f64 (*.f64 (log1p.f64 x) (/.f64 2 n))))) (cbrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))))
(*.f64 (cbrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))) (*.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (cbrt.f64 (pow.f64 (exp.f64 (log1p.f64 x)) (/.f64 2 n)))))
(*.f64 (cbrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))) (*.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (cbrt.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)))))
(sqrt.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 4))
(fabs.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)))
(log.f64 (exp.f64 (exp.f64 (*.f64 (log1p.f64 x) (/.f64 2 n)))))
(pow.f64 (exp.f64 (log1p.f64 x)) (/.f64 2 n))
(pow.f64 (+.f64 x 1) (/.f64 2 n))
(log.f64 (+.f64 1 (expm1.f64 (exp.f64 (*.f64 (log1p.f64 x) (/.f64 2 n))))))
(pow.f64 (exp.f64 (log1p.f64 x)) (/.f64 2 n))
(pow.f64 (+.f64 x 1) (/.f64 2 n))
(cbrt.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 6))
(expm1.f64 (log1p.f64 (exp.f64 (*.f64 (log1p.f64 x) (/.f64 2 n)))))
(pow.f64 (exp.f64 (log1p.f64 x)) (/.f64 2 n))
(pow.f64 (+.f64 x 1) (/.f64 2 n))
(exp.f64 (*.f64 (log1p.f64 x) (/.f64 2 n)))
(pow.f64 (exp.f64 (log1p.f64 x)) (/.f64 2 n))
(pow.f64 (+.f64 x 1) (/.f64 2 n))
(exp.f64 (*.f64 (*.f64 (log1p.f64 x) (/.f64 2 n)) 1))
(pow.f64 (exp.f64 (log1p.f64 x)) (/.f64 2 n))
(pow.f64 (+.f64 x 1) (/.f64 2 n))
(log1p.f64 (expm1.f64 (exp.f64 (*.f64 (log1p.f64 x) (/.f64 2 n)))))
(pow.f64 (exp.f64 (log1p.f64 x)) (/.f64 2 n))
(pow.f64 (+.f64 x 1) (/.f64 2 n))

eval2.4s (2.5%)

Compiler

Compiled 66414 to 37652 computations (43.3% saved)

prune735.0ms (0.8%)

Pruning

28 alts after pruning (27 fresh and 1 done)

PrunedKeptTotal
New2178252203
Fresh325
Picked415
Done101
Total2186282214
Accuracy
99.9%
Counts
2214 → 28
Alt Table
Click to see full alt table
StatusAccuracyProgram
40.5%
(pow.f64 (sqrt.f64 (/.f64 (pow.f64 x (-.f64 (/.f64 1 n) 1)) n)) 2)
62.6%
(/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n))
19.9%
(/.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (sqrt.f64 (*.f64 x n))) (sqrt.f64 (*.f64 x n)))
62.4%
(/.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (cbrt.f64 (*.f64 x n))) (pow.f64 (cbrt.f64 (*.f64 x n)) 2))
27.5%
(/.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 6) (pow.f64 x (/.f64 6 n))) (+.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 4) (*.f64 (pow.f64 x (/.f64 2 n)) (+.f64 (pow.f64 x (/.f64 2 n)) (pow.f64 (+.f64 x 1) (/.f64 2 n)))))) (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))))
47.0%
(/.f64 (/.f64 1 x) n)
34.3%
(/.f64 (-.f64 (/.f64 1 x) (/.f64 1/2 (pow.f64 x 2))) n)
27.3%
(/.f64 (-.f64 x (log.f64 x)) n)
27.5%
(/.f64 (-.f64 1 (pow.f64 x (/.f64 3 n))) (+.f64 1 (+.f64 (pow.f64 x (/.f64 1 n)) (pow.f64 x (/.f64 2 n)))))
27.5%
(/.f64 (-.f64 1 (pow.f64 x (/.f64 2 n))) (+.f64 1 (pow.f64 x (/.f64 1 n))))
45.2%
(/.f64 (+.f64 (/.f64 (neg.f64 (*.f64 -2 (-.f64 (log1p.f64 x) (log.f64 x)))) n) (/.f64 (*.f64 2 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2))) (pow.f64 n 2))) (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))))
44.8%
(/.f64 (+.f64 (/.f64 1/3 (pow.f64 x 3)) (-.f64 (/.f64 1 x) (/.f64 1/2 (pow.f64 x 2)))) n)
27.7%
(/.f64 (neg.f64 (log.f64 x)) n)
57.5%
(/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n)
57.0%
(/.f64 (expm1.f64 (log1p.f64 (-.f64 (log1p.f64 x) (log.f64 x)))) n)
57.3%
(/.f64 1 (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x))))
46.8%
(/.f64 1 (*.f64 x n))
34.1%
(-.f64 (/.f64 1 (*.f64 x n)) (/.f64 1/2 (*.f64 n (pow.f64 x 2))))
31.0%
(-.f64 (+.f64 1 (/.f64 x n)) (pow.f64 x (/.f64 1 n)))
33.8%
(-.f64 (*.f64 -1/2 (pow.f64 (/.f64 (log.f64 x) n) 2)) (/.f64 (log.f64 x) n))
62.2%
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))
42.7%
(-.f64 1 (pow.f64 x (/.f64 1 n)))
19.9%
(+.f64 (/.f64 (log1p.f64 x) n) (*.f64 (neg.f64 (sqrt.f64 (/.f64 (log.f64 x) n))) (sqrt.f64 (/.f64 (log.f64 x) n))))
37.2%
(+.f64 (/.f64 1/3 (*.f64 n (pow.f64 x 3))) (-.f64 (/.f64 1 (*.f64 x n)) (/.f64 1/2 (*.f64 n (pow.f64 x 2)))))
63.0%
(*.f64 (/.f64 1 x) (/.f64 (pow.f64 x (/.f64 1 n)) n))
57.3%
(*.f64 (/.f64 1 n) (-.f64 (log1p.f64 x) (log.f64 x)))
56.0%
(log.f64 (pow.f64 (/.f64 (+.f64 x 1) x) (/.f64 1 n)))
33.5%
(log.f64 1)
Compiler

Compiled 863 to 589 computations (31.7% saved)

localize2.6s (2.8%)

Algorithm
egg-herbie
Localize:

Found 20 expressions with local error:

NewAccuracyProgram
100.0%
(*.f64 -1/2 (pow.f64 (/.f64 (log.f64 x) n) 2))
100.0%
(-.f64 (*.f64 -1/2 (pow.f64 (/.f64 (log.f64 x) n) 2)) (/.f64 (log.f64 x) n))
99.8%
(/.f64 (log.f64 x) n)
99.7%
(pow.f64 (/.f64 (log.f64 x) n) 2)
100.0%
n
100.0%
1
99.2%
(pow.f64 (/.f64 (+.f64 x 1) x) (/.f64 1 n))
56.5%
(log.f64 (pow.f64 (/.f64 (+.f64 x 1) x) (/.f64 1 n)))
100.0%
x
100.0%
n
100.0%
1
99.6%
(/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n))
100.0%
x
100.0%
n
100.0%
1
99.6%
(/.f64 1 (*.f64 x n))
100.0%
n
100.0%
1
100.0%
(/.f64 (pow.f64 x (/.f64 1 n)) n)
99.8%
(*.f64 (/.f64 1 x) (/.f64 (pow.f64 x (/.f64 1 n)) n))
Rules
1636×times-frac
1322×distribute-lft-neg-in
1216×*-commutative
1160×sqr-pow
1158×cube-prod
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
013119
128113
251113
3132113
4432113
51624113
63482113
74022113
84102113
94249113
104495113
114948113
125779113
137482113
01041
11941
22141
01288
12588
24288
39788
427588
5100088
6489588
7554288
8566488
9586788
10616088
11670688
12761988
014120
126120
241112
380112
4221112
5751112
63653112
77983112
015138
125138
250138
3122134
4346134
51144134
63463134
76757134
Stop Event
node limit
node limit
node limit
saturated
node limit
Calls
Call 1
Inputs
(-.f64 (*.f64 -1/2 (pow.f64 (/.f64 (log.f64 x) n) 2)) (/.f64 (log.f64 x) n))
(*.f64 -1/2 (pow.f64 (/.f64 (log.f64 x) n) 2))
-1/2
(pow.f64 (/.f64 (log.f64 x) n) 2)
(/.f64 (log.f64 x) n)
(log.f64 x)
x
n
2
Outputs
(-.f64 (*.f64 -1/2 (pow.f64 (/.f64 (log.f64 x) n) 2)) (/.f64 (log.f64 x) n))
(*.f64 (/.f64 (log.f64 x) n) (fma.f64 -1/2 (/.f64 (log.f64 x) n) -1))
(*.f64 (/.f64 (log.f64 x) n) (fma.f64 (/.f64 -1/2 n) (log.f64 x) -1))
(*.f64 (/.f64 (log.f64 x) n) (fma.f64 (log.f64 x) (/.f64 -1/2 n) -1))
(*.f64 -1/2 (pow.f64 (/.f64 (log.f64 x) n) 2))
-1/2
(pow.f64 (/.f64 (log.f64 x) n) 2)
(/.f64 (log.f64 x) n)
(log.f64 x)
x
n
2
Call 2
Inputs
(log.f64 (pow.f64 (/.f64 (+.f64 x 1) x) (/.f64 1 n)))
(pow.f64 (/.f64 (+.f64 x 1) x) (/.f64 1 n))
(/.f64 (+.f64 x 1) x)
(+.f64 x 1)
x
1
(/.f64 1 n)
n
Outputs
(log.f64 (pow.f64 (/.f64 (+.f64 x 1) x) (/.f64 1 n)))
(*.f64 (/.f64 1 n) (log.f64 (/.f64 (+.f64 x 1) x)))
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(pow.f64 (/.f64 (+.f64 x 1) x) (/.f64 1 n))
(/.f64 (+.f64 x 1) x)
(+.f64 x 1)
x
1
(/.f64 1 n)
n
Call 3
Inputs
(/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n))
(pow.f64 x (/.f64 1 n))
x
(/.f64 1 n)
1
n
(*.f64 x n)
Outputs
(/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n))
(pow.f64 x (/.f64 1 n))
x
(/.f64 1 n)
1
n
(*.f64 x n)
Call 4
Inputs
(/.f64 1 (*.f64 x n))
1
(*.f64 x n)
x
n
Outputs
(/.f64 1 (*.f64 x n))
(/.f64 (/.f64 1 x) n)
1
(*.f64 x n)
x
n
Call 5
Inputs
(*.f64 (/.f64 1 x) (/.f64 (pow.f64 x (/.f64 1 n)) n))
(/.f64 1 x)
1
x
(/.f64 (pow.f64 x (/.f64 1 n)) n)
(pow.f64 x (/.f64 1 n))
(/.f64 1 n)
n
Outputs
(*.f64 (/.f64 1 x) (/.f64 (pow.f64 x (/.f64 1 n)) n))
(/.f64 (/.f64 (pow.f64 x (/.f64 1 n)) n) x)
(/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n))
(/.f64 1 x)
1
x
(/.f64 (pow.f64 x (/.f64 1 n)) n)
(pow.f64 x (/.f64 1 n))
(/.f64 1 n)
n
Compiler

Compiled 139 to 72 computations (48.2% saved)

series49.0ms (0.1%)

Counts
13 → 216
Calls

54 calls:

TimeVariablePointExpression
14.0ms
n
@0
(log.f64 (pow.f64 (/.f64 (+.f64 x 1) x) (/.f64 1 n)))
8.0ms
n
@inf
(log.f64 (pow.f64 (/.f64 (+.f64 x 1) x) (/.f64 1 n)))
4.0ms
x
@-inf
(log.f64 (pow.f64 (/.f64 (+.f64 x 1) x) (/.f64 1 n)))
2.0ms
x
@inf
(log.f64 (pow.f64 (/.f64 (+.f64 x 1) x) (/.f64 1 n)))
1.0ms
x
@-inf
(-.f64 (*.f64 -1/2 (pow.f64 (/.f64 (log.f64 x) n) 2)) (/.f64 (log.f64 x) n))

rewrite232.0ms (0.2%)

Algorithm
batch-egg-rewrite
Rules
696×expm1-udef
696×log1p-udef
610×log1p-expm1-u
322×associate-*r*
258×frac-times
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
028300
1456286
26281286
Stop Event
node limit
Counts
13 → 327
Calls
Call 1
Inputs
(*.f64 (/.f64 1 x) (/.f64 (pow.f64 x (/.f64 1 n)) n))
(/.f64 (pow.f64 x (/.f64 1 n)) n)
1
(/.f64 1 (*.f64 x n))
1
(/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n))
1
(log.f64 (pow.f64 (/.f64 (+.f64 x 1) x) (/.f64 1 n)))
(pow.f64 (/.f64 (+.f64 x 1) x) (/.f64 1 n))
1
(pow.f64 (/.f64 (log.f64 x) n) 2)
(-.f64 (*.f64 -1/2 (pow.f64 (/.f64 (log.f64 x) n) 2)) (/.f64 (log.f64 x) n))
(*.f64 -1/2 (pow.f64 (/.f64 (log.f64 x) n) 2))
Outputs
(-.f64 (exp.f64 (log1p.f64 (/.f64 (pow.f64 x (-.f64 (/.f64 1 n) 1)) n))) 1)
(/.f64 1 (/.f64 n (pow.f64 x (-.f64 (/.f64 1 n) 1))))
(/.f64 1 (*.f64 (/.f64 n (pow.f64 x (/.f64 1 n))) x))
(/.f64 1 (/.f64 (/.f64 n (pow.f64 x (-.f64 (/.f64 1 n) 1))) 1))
(/.f64 (/.f64 1 x) (/.f64 n (pow.f64 x (/.f64 1 n))))
(/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n))
(/.f64 (/.f64 (pow.f64 x (/.f64 1 n)) n) x)
(/.f64 -1 (*.f64 (neg.f64 x) (/.f64 n (pow.f64 x (/.f64 1 n)))))
(/.f64 -1 (*.f64 (/.f64 n (pow.f64 x (/.f64 1 n))) (neg.f64 x)))
(/.f64 -1 (neg.f64 (/.f64 n (pow.f64 x (-.f64 (/.f64 1 n) 1)))))
(/.f64 (pow.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n))) 2) (/.f64 (*.f64 x n) (cbrt.f64 (pow.f64 x (/.f64 1 n)))))
(/.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 x (/.f64 1 n)) n)) 2) (/.f64 x (cbrt.f64 (/.f64 (pow.f64 x (/.f64 1 n)) n))))
(/.f64 (sqrt.f64 (pow.f64 x (/.f64 1 n))) (/.f64 (*.f64 x n) (sqrt.f64 (pow.f64 x (/.f64 1 n)))))
(/.f64 (sqrt.f64 (/.f64 (pow.f64 x (/.f64 1 n)) n)) (/.f64 x (sqrt.f64 (/.f64 (pow.f64 x (/.f64 1 n)) n))))
(/.f64 (neg.f64 (pow.f64 x (/.f64 1 n))) (neg.f64 (*.f64 x n)))
(/.f64 (pow.f64 x (-.f64 (/.f64 1 n) 1)) n)
(/.f64 (*.f64 (neg.f64 (pow.f64 x (/.f64 1 n))) 1) (neg.f64 (*.f64 x n)))
(/.f64 (*.f64 -1 (neg.f64 (pow.f64 x (/.f64 1 n)))) (*.f64 (neg.f64 x) (neg.f64 n)))
(/.f64 (*.f64 (pow.f64 x (/.f64 1 n)) -1) (neg.f64 (*.f64 x n)))
(/.f64 (*.f64 (neg.f64 (pow.f64 x (/.f64 1 n))) -1) (*.f64 (neg.f64 n) (neg.f64 x)))
(/.f64 (neg.f64 (neg.f64 (pow.f64 x (/.f64 1 n)))) (neg.f64 (neg.f64 (*.f64 x n))))
(/.f64 (neg.f64 (/.f64 (pow.f64 x (/.f64 1 n)) n)) (neg.f64 x))
(/.f64 (neg.f64 (pow.f64 x (-.f64 (/.f64 1 n) 1))) (neg.f64 n))
(/.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (sqrt.f64 (*.f64 x n))) (sqrt.f64 (*.f64 x n)))
(/.f64 (/.f64 (/.f64 (pow.f64 x (/.f64 1 n)) n) (sqrt.f64 x)) (sqrt.f64 x))
(/.f64 (/.f64 (pow.f64 x (/.f64 1 n)) 1) (*.f64 x n))
(/.f64 (*.f64 (/.f64 1 x) (neg.f64 (pow.f64 x (/.f64 1 n)))) (neg.f64 n))
(/.f64 (*.f64 (/.f64 (pow.f64 x (/.f64 1 n)) n) -1) (neg.f64 x))
(/.f64 (*.f64 -1 (/.f64 (pow.f64 x (/.f64 1 n)) n)) (neg.f64 x))
(/.f64 (*.f64 (neg.f64 (pow.f64 x (/.f64 1 n))) (/.f64 1 x)) (neg.f64 n))
(/.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (pow.f64 (cbrt.f64 (*.f64 x n)) 2)) (cbrt.f64 (*.f64 x n)))
(/.f64 (/.f64 (/.f64 (pow.f64 x (/.f64 1 n)) n) 1) x)
(/.f64 (/.f64 (/.f64 (pow.f64 x (/.f64 1 n)) n) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(/.f64 (/.f64 (pow.f64 x (-.f64 (/.f64 1 n) 1)) 1) n)
(/.f64 (/.f64 (pow.f64 x (-.f64 (/.f64 1 n) 1)) (pow.f64 (cbrt.f64 n) 2)) (cbrt.f64 n))
(/.f64 (/.f64 (pow.f64 x (-.f64 (/.f64 1 n) 1)) (sqrt.f64 n)) (sqrt.f64 n))
(pow.f64 (/.f64 (pow.f64 x (-.f64 (/.f64 1 n) 1)) n) 1)
(pow.f64 (cbrt.f64 (/.f64 (pow.f64 x (-.f64 (/.f64 1 n) 1)) n)) 3)
(pow.f64 (pow.f64 (/.f64 (pow.f64 x (-.f64 (/.f64 1 n) 1)) n) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (pow.f64 x (-.f64 (/.f64 1 n) 1)) n)) 2)
(pow.f64 (/.f64 n (pow.f64 x (-.f64 (/.f64 1 n) 1))) -1)
(neg.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (neg.f64 (*.f64 x n))))
(sqrt.f64 (pow.f64 (/.f64 (pow.f64 x (-.f64 (/.f64 1 n) 1)) n) 2))
(log.f64 (exp.f64 (/.f64 (pow.f64 x (-.f64 (/.f64 1 n) 1)) n)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (pow.f64 x (-.f64 (/.f64 1 n) 1)) n))))
(cbrt.f64 (pow.f64 (/.f64 (pow.f64 x (-.f64 (/.f64 1 n) 1)) n) 3))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 1 x) 3) (pow.f64 (/.f64 (pow.f64 x (/.f64 1 n)) n) 3)))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 x (/.f64 1 n)) 3) (pow.f64 (/.f64 1 (*.f64 x n)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (pow.f64 x (/.f64 1 n)) n) 3) (pow.f64 (/.f64 1 x) 3)))
(cbrt.f64 (/.f64 (pow.f64 (pow.f64 x (/.f64 1 n)) 3) (pow.f64 (*.f64 x n) 3)))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 (pow.f64 x (/.f64 1 n)) n) 3) (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (/.f64 (pow.f64 x (-.f64 (/.f64 1 n) 1)) n)))
(exp.f64 (log.f64 (/.f64 (pow.f64 x (-.f64 (/.f64 1 n) 1)) n)))
(exp.f64 (*.f64 (log.f64 (/.f64 (pow.f64 x (-.f64 (/.f64 1 n) 1)) n)) 1))
(log1p.f64 (expm1.f64 (/.f64 (pow.f64 x (-.f64 (/.f64 1 n) 1)) n)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (pow.f64 x (/.f64 1 n)) n))) 1)
(*.f64 1 (/.f64 (pow.f64 x (/.f64 1 n)) n))
(*.f64 (/.f64 1 n) (pow.f64 x (/.f64 1 n)))
(*.f64 (pow.f64 x (/.f64 1 n)) (/.f64 1 n))
(*.f64 (/.f64 (pow.f64 x (/.f64 1 n)) n) 1)
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n))) 2) (*.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n))) (/.f64 1 n)))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 x (/.f64 1 n)) n)) (pow.f64 (cbrt.f64 (/.f64 (pow.f64 x (/.f64 1 n)) n)) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 x (/.f64 1 n)) n)) 2) (cbrt.f64 (/.f64 (pow.f64 x (/.f64 1 n)) n)))
(*.f64 (sqrt.f64 (pow.f64 x (/.f64 1 n))) (*.f64 (sqrt.f64 (pow.f64 x (/.f64 1 n))) (/.f64 1 n)))
(*.f64 (sqrt.f64 (/.f64 (pow.f64 x (/.f64 1 n)) n)) (sqrt.f64 (/.f64 (pow.f64 x (/.f64 1 n)) n)))
(*.f64 (pow.f64 n -1/2) (/.f64 (pow.f64 x (/.f64 1 n)) (sqrt.f64 n)))
(*.f64 (neg.f64 (pow.f64 x (/.f64 1 n))) (/.f64 1 (neg.f64 n)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n))) 2) 1) (/.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n))) n))
(*.f64 (/.f64 (sqrt.f64 (pow.f64 x (/.f64 1 n))) 1) (/.f64 (sqrt.f64 (pow.f64 x (/.f64 1 n))) n))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 n) 2)) (/.f64 (pow.f64 x (/.f64 1 n)) (cbrt.f64 n)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n))) 2) (pow.f64 (cbrt.f64 n) 2)) (cbrt.f64 (/.f64 (pow.f64 x (/.f64 1 n)) n)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n))) 2) (sqrt.f64 n)) (/.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n))) (sqrt.f64 n)))
(*.f64 (/.f64 (sqrt.f64 (pow.f64 x (/.f64 1 n))) (pow.f64 (cbrt.f64 n) 2)) (/.f64 (sqrt.f64 (pow.f64 x (/.f64 1 n))) (cbrt.f64 n)))
(*.f64 (*.f64 (pow.f64 x (/.f64 1 n)) (cbrt.f64 (pow.f64 n -2))) (/.f64 1 (cbrt.f64 n)))
(*.f64 (*.f64 (pow.f64 x (/.f64 1 n)) (pow.f64 n -1/2)) (pow.f64 n -1/2))
(pow.f64 (/.f64 (pow.f64 x (/.f64 1 n)) n) 1)
(pow.f64 (cbrt.f64 (/.f64 (pow.f64 x (/.f64 1 n)) n)) 3)
(pow.f64 (pow.f64 (/.f64 (pow.f64 x (/.f64 1 n)) n) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (pow.f64 x (/.f64 1 n)) n)) 2)
(pow.f64 (/.f64 n (pow.f64 x (/.f64 1 n))) -1)
(neg.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (neg.f64 n)))
(sqrt.f64 (pow.f64 (/.f64 (pow.f64 x (/.f64 1 n)) n) 2))
(log.f64 (exp.f64 (/.f64 (pow.f64 x (/.f64 1 n)) n)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (pow.f64 x (/.f64 1 n)) n))))
(cbrt.f64 (pow.f64 (/.f64 (pow.f64 x (/.f64 1 n)) n) 3))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 x (/.f64 1 n)) 3) (pow.f64 (/.f64 1 n) 3)))
(cbrt.f64 (/.f64 (pow.f64 (pow.f64 x (/.f64 1 n)) 3) (pow.f64 n 3)))
(expm1.f64 (log1p.f64 (/.f64 (pow.f64 x (/.f64 1 n)) n)))
(exp.f64 (-.f64 (/.f64 (log.f64 x) n) (log.f64 n)))
(exp.f64 (*.f64 (-.f64 (/.f64 (log.f64 x) n) (log.f64 n)) 1))
(log1p.f64 (expm1.f64 (/.f64 (pow.f64 x (/.f64 1 n)) n)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (*.f64 x n)))) 1)
(*.f64 1 (/.f64 1 (*.f64 x n)))
(*.f64 (/.f64 1 x) (/.f64 1 n))
(*.f64 (/.f64 1 n) (/.f64 1 x))
(*.f64 (/.f64 1 (*.f64 x n)) 1)
(*.f64 -1 (/.f64 1 (neg.f64 (*.f64 x n))))
(*.f64 (/.f64 1 (cbrt.f64 (*.f64 x n))) (cbrt.f64 (pow.f64 (*.f64 x n) -2)))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 x n) -2)) (/.f64 1 (cbrt.f64 (*.f64 x n))))
(*.f64 (pow.f64 n -1/2) (/.f64 (/.f64 1 x) (sqrt.f64 n)))
(*.f64 (pow.f64 (*.f64 x n) -1/2) (pow.f64 (*.f64 x n) -1/2))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x n)) 2) -1) (pow.f64 (cbrt.f64 (*.f64 x n)) -1))
(*.f64 (pow.f64 (sqrt.f64 (*.f64 x n)) -1) (pow.f64 (sqrt.f64 (*.f64 x n)) -1))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 n) 2)) (/.f64 (/.f64 1 x) (cbrt.f64 n)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x -2)) 1) (/.f64 (/.f64 1 (cbrt.f64 x)) n))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x -2)) (pow.f64 (cbrt.f64 n) 2)) (/.f64 1 (cbrt.f64 (*.f64 x n))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x -2)) (sqrt.f64 n)) (/.f64 (/.f64 1 (cbrt.f64 x)) (sqrt.f64 n)))
(*.f64 (/.f64 (pow.f64 x -1/2) 1) (/.f64 (pow.f64 x -1/2) n))
(*.f64 (/.f64 (pow.f64 x -1/2) (pow.f64 (cbrt.f64 n) 2)) (/.f64 (pow.f64 x -1/2) (cbrt.f64 n)))
(pow.f64 (*.f64 x n) -1)
(pow.f64 (/.f64 1 (*.f64 x n)) 1)
(pow.f64 (/.f64 1 (cbrt.f64 (*.f64 x n))) 3)
(pow.f64 (pow.f64 (/.f64 1 (*.f64 x n)) 3) 1/3)
(pow.f64 (pow.f64 (*.f64 x n) -1/2) 2)
(sqrt.f64 (pow.f64 (*.f64 x n) -2))
(log.f64 (exp.f64 (/.f64 1 (*.f64 x n))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (*.f64 x n)))))
(cbrt.f64 (pow.f64 (/.f64 1 (*.f64 x n)) 3))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 1 x) 3) (pow.f64 n 3)))
(expm1.f64 (log1p.f64 (/.f64 1 (*.f64 x n))))
(exp.f64 (neg.f64 (log.f64 (*.f64 x n))))
(exp.f64 (*.f64 (log.f64 (*.f64 x n)) -1))
(exp.f64 (*.f64 (neg.f64 (log.f64 (*.f64 x n))) 1))
(log1p.f64 (expm1.f64 (/.f64 1 (*.f64 x n))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (pow.f64 x (-.f64 (/.f64 1 n) 1)) n))) 1)
(*.f64 1 (/.f64 (pow.f64 x (-.f64 (/.f64 1 n) 1)) n))
(*.f64 (/.f64 1 x) (/.f64 (pow.f64 x (/.f64 1 n)) n))
(*.f64 (/.f64 1 n) (pow.f64 x (-.f64 (/.f64 1 n) 1)))
(*.f64 (pow.f64 x (/.f64 1 n)) (/.f64 1 (*.f64 x n)))
(*.f64 (/.f64 (pow.f64 x (/.f64 1 n)) n) (/.f64 1 x))
(*.f64 (/.f64 1 (*.f64 x n)) (pow.f64 x (/.f64 1 n)))
(*.f64 (/.f64 (pow.f64 x (-.f64 (/.f64 1 n) 1)) n) 1)
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n))) 2) (*.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n))) (/.f64 1 (*.f64 x n))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 x (/.f64 1 n)) n)) 2) (*.f64 (cbrt.f64 (/.f64 (pow.f64 x (/.f64 1 n)) n)) (/.f64 1 x)))
(*.f64 (cbrt.f64 (pow.f64 x -2)) (*.f64 (/.f64 1 (cbrt.f64 x)) (/.f64 (pow.f64 x (/.f64 1 n)) n)))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 x (-.f64 (/.f64 1 n) 1)) n)) (pow.f64 (cbrt.f64 (/.f64 (pow.f64 x (-.f64 (/.f64 1 n) 1)) n)) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 x (-.f64 (/.f64 1 n) 1)) n)) 2) (cbrt.f64 (/.f64 (pow.f64 x (-.f64 (/.f64 1 n) 1)) n)))
(*.f64 (sqrt.f64 (pow.f64 x (/.f64 1 n))) (*.f64 (sqrt.f64 (pow.f64 x (/.f64 1 n))) (/.f64 1 (*.f64 x n))))
(*.f64 (sqrt.f64 (/.f64 (pow.f64 x (/.f64 1 n)) n)) (*.f64 (sqrt.f64 (/.f64 (pow.f64 x (/.f64 1 n)) n)) (/.f64 1 x)))
(*.f64 (pow.f64 x -1/2) (/.f64 (/.f64 (pow.f64 x (/.f64 1 n)) n) (sqrt.f64 x)))
(*.f64 (pow.f64 x -1/2) (*.f64 (pow.f64 x -1/2) (/.f64 (pow.f64 x (/.f64 1 n)) n)))
(*.f64 (sqrt.f64 (/.f64 (pow.f64 x (-.f64 (/.f64 1 n) 1)) n)) (sqrt.f64 (/.f64 (pow.f64 x (-.f64 (/.f64 1 n) 1)) n)))
(*.f64 (pow.f64 (*.f64 x n) -1/2) (/.f64 (pow.f64 x (/.f64 1 n)) (sqrt.f64 (*.f64 x n))))
(*.f64 (neg.f64 (pow.f64 x (/.f64 1 n))) (/.f64 1 (neg.f64 (*.f64 x n))))
(*.f64 (pow.f64 x (-.f64 (/.f64 1 n) 1)) (/.f64 1 n))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (/.f64 (pow.f64 x (/.f64 1 n)) n) (cbrt.f64 x)))
(*.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (sqrt.f64 x)) (/.f64 (/.f64 1 n) (sqrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n))) 2) 1) (/.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n))) (*.f64 x n)))
(*.f64 (/.f64 (sqrt.f64 (pow.f64 x (/.f64 1 n))) 1) (/.f64 (sqrt.f64 (pow.f64 x (/.f64 1 n))) (*.f64 x n)))
(*.f64 (/.f64 (sqrt.f64 (pow.f64 x (/.f64 1 n))) x) (/.f64 (sqrt.f64 (pow.f64 x (/.f64 1 n))) n))
(*.f64 (/.f64 (/.f64 1 x) (sqrt.f64 n)) (/.f64 (pow.f64 x (/.f64 1 n)) (sqrt.f64 n)))
(*.f64 (/.f64 (sqrt.f64 (pow.f64 x (/.f64 1 n))) n) (/.f64 (sqrt.f64 (pow.f64 x (/.f64 1 n))) x))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 x n)) 2)) (/.f64 (pow.f64 x (/.f64 1 n)) (cbrt.f64 (*.f64 x n))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n))) 2) x) (/.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n))) n))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n))) 2) n) (/.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n))) x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n))) 2) (pow.f64 (cbrt.f64 (*.f64 x n)) 2)) (cbrt.f64 (/.f64 (pow.f64 x (-.f64 (/.f64 1 n) 1)) n)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n))) 2) (sqrt.f64 (*.f64 x n))) (/.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n))) (sqrt.f64 (*.f64 x n))))
(*.f64 (/.f64 (sqrt.f64 (pow.f64 x (/.f64 1 n))) (pow.f64 (cbrt.f64 (*.f64 x n)) 2)) (/.f64 (sqrt.f64 (pow.f64 x (/.f64 1 n))) (cbrt.f64 (*.f64 x n))))
(*.f64 (/.f64 (pow.f64 x (/.f64 1 n)) 1) (/.f64 1 (*.f64 x n)))
(*.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (/.f64 1 n) (cbrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 x (/.f64 1 n)) n)) 2) 1) (/.f64 (cbrt.f64 (/.f64 (pow.f64 x (/.f64 1 n)) n)) x))
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(log.f64 (+.f64 1 (expm1.f64 (-.f64 (*.f64 (pow.f64 (/.f64 (log.f64 x) n) 2) -1/2) (/.f64 (log.f64 x) n)))))
(cbrt.f64 (pow.f64 (-.f64 (*.f64 (pow.f64 (/.f64 (log.f64 x) n) 2) -1/2) (/.f64 (log.f64 x) n)) 3))
(expm1.f64 (log1p.f64 (-.f64 (*.f64 (pow.f64 (/.f64 (log.f64 x) n) 2) -1/2) (/.f64 (log.f64 x) n))))
(exp.f64 (log.f64 (-.f64 (*.f64 (pow.f64 (/.f64 (log.f64 x) n) 2) -1/2) (/.f64 (log.f64 x) n))))
(exp.f64 (*.f64 (log.f64 (-.f64 (*.f64 (pow.f64 (/.f64 (log.f64 x) n) 2) -1/2) (/.f64 (log.f64 x) n))) 1))
(log1p.f64 (expm1.f64 (-.f64 (*.f64 (pow.f64 (/.f64 (log.f64 x) n) 2) -1/2) (/.f64 (log.f64 x) n))))
(fma.f64 1 (*.f64 (pow.f64 (/.f64 (log.f64 x) n) 2) -1/2) (/.f64 (neg.f64 (log.f64 x)) n))
(fma.f64 (pow.f64 (/.f64 (log.f64 x) n) 2) -1/2 (/.f64 (neg.f64 (log.f64 x)) n))
(fma.f64 -1/2 (pow.f64 (/.f64 (log.f64 x) n) 2) (/.f64 (neg.f64 (log.f64 x)) n))
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 (/.f64 (log.f64 x) n) 4) 1/4)) (cbrt.f64 (*.f64 (pow.f64 (/.f64 (log.f64 x) n) 2) -1/2)) (/.f64 (neg.f64 (log.f64 x)) n))
(fma.f64 (*.f64 (/.f64 (log.f64 x) n) (sqrt.f64 -1/2)) (*.f64 (/.f64 (log.f64 x) n) (sqrt.f64 -1/2)) (/.f64 (neg.f64 (log.f64 x)) n))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 (/.f64 (log.f64 x) n) 2) -1/2))) 1)
(pow.f64 (*.f64 (pow.f64 (/.f64 (log.f64 x) n) 2) -1/2) 1)
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 (/.f64 (log.f64 x) n) 2) -1/2)) 3)
(pow.f64 (*.f64 (pow.f64 (pow.f64 (/.f64 (log.f64 x) n) 2) 3) -1/8) 1/3)
(pow.f64 (*.f64 (/.f64 (log.f64 x) n) (sqrt.f64 -1/2)) 2)
(sqrt.f64 (*.f64 (pow.f64 (/.f64 (log.f64 x) n) 4) 1/4))
(log.f64 (pow.f64 (exp.f64 -1/2) (pow.f64 (/.f64 (log.f64 x) n) 2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 (/.f64 (log.f64 x) n) 2) -1/2))))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 (/.f64 (log.f64 x) n) 2) 3) -1/8))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 (/.f64 (log.f64 x) n) 2) -1/2)))
(exp.f64 (log.f64 (*.f64 (pow.f64 (/.f64 (log.f64 x) n) 2) -1/2)))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 (/.f64 (log.f64 x) n) 2) -1/2)) 1))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 (/.f64 (log.f64 x) n) 2) -1/2)))

simplify205.0ms (0.2%)

Algorithm
egg-herbie
Rules
1008×associate-*r*
936×associate-*l*
920×times-frac
750×fma-def
400×*-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
090727117
1242424990
Stop Event
node limit
Counts
543 → 505
Calls
Call 1
Inputs
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n x))
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n x))
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n x))
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n x))
(/.f64 (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (*.f64 n x))
(/.f64 (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (*.f64 n x))
(/.f64 (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (*.f64 n x))
(/.f64 (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (*.f64 n x))
(/.f64 (exp.f64 (/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))) n)) (*.f64 n x))
(/.f64 (exp.f64 (/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))) n)) (*.f64 n x))
(/.f64 (exp.f64 (/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))) n)) (*.f64 n x))
(/.f64 (exp.f64 (/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))) n)) (*.f64 n x))
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n x))
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n x))
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n x))
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n x))
(/.f64 1 (*.f64 n x))
(+.f64 (/.f64 1 (*.f64 n x)) (/.f64 (log.f64 x) (*.f64 (pow.f64 n 2) x)))
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(+.f64 (*.f64 1/6 (/.f64 (pow.f64 (log.f64 x) 3) (*.f64 (pow.f64 n 4) x))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 (pow.f64 n 3) x))) (+.f64 (/.f64 1 (*.f64 n x)) (/.f64 (log.f64 x) (*.f64 (pow.f64 n 2) x)))))
(/.f64 1 (*.f64 n x))
(+.f64 (/.f64 1 (*.f64 n x)) (/.f64 (log.f64 x) (*.f64 (pow.f64 n 2) x)))
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(+.f64 (*.f64 1/6 (/.f64 (pow.f64 (log.f64 x) 3) (*.f64 (pow.f64 n 4) x))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 (pow.f64 n 3) x))) (+.f64 (/.f64 1 (*.f64 n x)) (/.f64 (log.f64 x) (*.f64 (pow.f64 n 2) x)))))
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) n)
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) n)
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) n)
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) n)
(/.f64 (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) n)
(/.f64 (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) n)
(/.f64 (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) n)
(/.f64 (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) n)
(/.f64 (exp.f64 (/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))) n)) n)
(/.f64 (exp.f64 (/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))) n)) n)
(/.f64 (exp.f64 (/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))) n)) n)
(/.f64 (exp.f64 (/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))) n)) n)
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) n)
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) n)
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) n)
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) n)
(/.f64 1 n)
(+.f64 (/.f64 1 n) (/.f64 (log.f64 x) (pow.f64 n 2)))
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 3))) (+.f64 (/.f64 1 n) (/.f64 (log.f64 x) (pow.f64 n 2))))
(+.f64 (*.f64 1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 4))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 3))) (+.f64 (/.f64 1 n) (/.f64 (log.f64 x) (pow.f64 n 2)))))
(/.f64 1 n)
(+.f64 (/.f64 1 n) (/.f64 (log.f64 x) (pow.f64 n 2)))
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 3))) (+.f64 (/.f64 1 n) (/.f64 (log.f64 x) (pow.f64 n 2))))
(+.f64 (*.f64 1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 4))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 3))) (+.f64 (/.f64 1 n) (/.f64 (log.f64 x) (pow.f64 n 2)))))
(/.f64 1 (*.f64 n x))
(/.f64 1 (*.f64 n x))
(/.f64 1 (*.f64 n x))
(/.f64 1 (*.f64 n x))
(/.f64 1 (*.f64 n x))
(/.f64 1 (*.f64 n x))
(/.f64 1 (*.f64 n x))
(/.f64 1 (*.f64 n x))
(/.f64 1 (*.f64 n x))
(/.f64 1 (*.f64 n x))
(/.f64 1 (*.f64 n x))
(/.f64 1 (*.f64 n x))
(/.f64 1 (*.f64 n x))
(/.f64 1 (*.f64 n x))
(/.f64 1 (*.f64 n x))
(/.f64 1 (*.f64 n x))
(/.f64 1 (*.f64 n x))
(/.f64 1 (*.f64 n x))
(/.f64 1 (*.f64 n x))
(/.f64 1 (*.f64 n x))
(/.f64 1 (*.f64 n x))
(/.f64 1 (*.f64 n x))
(/.f64 1 (*.f64 n x))
(/.f64 1 (*.f64 n x))
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n x))
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n x))
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n x))
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n x))
(/.f64 (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (*.f64 n x))
(/.f64 (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (*.f64 n x))
(/.f64 (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (*.f64 n x))
(/.f64 (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (*.f64 n x))
(/.f64 (exp.f64 (/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))) n)) (*.f64 n x))
(/.f64 (exp.f64 (/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))) n)) (*.f64 n x))
(/.f64 (exp.f64 (/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))) n)) (*.f64 n x))
(/.f64 (exp.f64 (/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))) n)) (*.f64 n x))
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n x))
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n x))
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n x))
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n x))
(/.f64 1 (*.f64 n x))
(+.f64 (/.f64 1 (*.f64 n x)) (/.f64 (log.f64 x) (*.f64 (pow.f64 n 2) x)))
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 (pow.f64 n 3) x))) (+.f64 (/.f64 1 (*.f64 n x)) (/.f64 (log.f64 x) (*.f64 (pow.f64 n 2) x))))
(+.f64 (*.f64 1/6 (/.f64 (pow.f64 (log.f64 x) 3) (*.f64 (pow.f64 n 4) x))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 (pow.f64 n 3) x))) (+.f64 (/.f64 1 (*.f64 n x)) (/.f64 (log.f64 x) (*.f64 (pow.f64 n 2) x)))))
(/.f64 1 (*.f64 n x))
(+.f64 (/.f64 1 (*.f64 n x)) (/.f64 (log.f64 x) (*.f64 (pow.f64 n 2) x)))
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 (pow.f64 n 3) x))) (+.f64 (/.f64 1 (*.f64 n x)) (/.f64 (log.f64 x) (*.f64 (pow.f64 n 2) x))))
(+.f64 (*.f64 1/6 (/.f64 (pow.f64 (log.f64 x) 3) (*.f64 (pow.f64 n 4) x))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 (pow.f64 n 3) x))) (+.f64 (/.f64 1 (*.f64 n x)) (/.f64 (log.f64 x) (*.f64 (pow.f64 n 2) x)))))
(*.f64 -1 (/.f64 (log.f64 x) n))
(+.f64 (*.f64 -1 (/.f64 (log.f64 x) n)) (/.f64 x n))
(+.f64 (*.f64 -1 (/.f64 (log.f64 x) n)) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 x 2) (-.f64 (*.f64 2 (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n)))) (/.f64 1 (pow.f64 n 2))))) (/.f64 x n)))
(+.f64 (*.f64 -1 (/.f64 (log.f64 x) n)) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 x 3) (+.f64 (*.f64 -6 (/.f64 (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n))) n)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 n 3))) (*.f64 6 (-.f64 (+.f64 (*.f64 1/6 (/.f64 1 (pow.f64 n 3))) (*.f64 1/3 (/.f64 1 n))) (*.f64 1/2 (/.f64 1 (pow.f64 n 2))))))))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 x 2) (-.f64 (*.f64 2 (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n)))) (/.f64 1 (pow.f64 n 2))))) (/.f64 x n))))
(/.f64 1 (*.f64 n x))
(+.f64 (*.f64 1/2 (/.f64 (-.f64 (*.f64 2 (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n)))) (/.f64 1 (pow.f64 n 2))) (pow.f64 x 2))) (/.f64 1 (*.f64 n x)))
(+.f64 (*.f64 1/6 (/.f64 (+.f64 (*.f64 -6 (/.f64 (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n))) n)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 n 3))) (*.f64 6 (-.f64 (+.f64 (*.f64 1/6 (/.f64 1 (pow.f64 n 3))) (*.f64 1/3 (/.f64 1 n))) (*.f64 1/2 (/.f64 1 (pow.f64 n 2))))))) (pow.f64 x 3))) (+.f64 (*.f64 1/2 (/.f64 (-.f64 (*.f64 2 (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n)))) (/.f64 1 (pow.f64 n 2))) (pow.f64 x 2))) (/.f64 1 (*.f64 n x))))
(+.f64 (*.f64 1/24 (/.f64 (-.f64 (+.f64 (*.f64 -24 (/.f64 (-.f64 (+.f64 (*.f64 1/6 (/.f64 1 (pow.f64 n 3))) (*.f64 1/3 (/.f64 1 n))) (*.f64 1/2 (/.f64 1 (pow.f64 n 2)))) n)) (+.f64 (*.f64 -12 (pow.f64 (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n))) 2)) (+.f64 (*.f64 24 (-.f64 (+.f64 (*.f64 1/24 (/.f64 1 (pow.f64 n 4))) (*.f64 11/24 (/.f64 1 (pow.f64 n 2)))) (+.f64 (*.f64 1/4 (/.f64 1 n)) (*.f64 1/4 (/.f64 1 (pow.f64 n 3)))))) (*.f64 24 (/.f64 (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n))) (pow.f64 n 2)))))) (*.f64 6 (/.f64 1 (pow.f64 n 4)))) (pow.f64 x 4))) (+.f64 (*.f64 1/6 (/.f64 (+.f64 (*.f64 -6 (/.f64 (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n))) n)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 n 3))) (*.f64 6 (-.f64 (+.f64 (*.f64 1/6 (/.f64 1 (pow.f64 n 3))) (*.f64 1/3 (/.f64 1 n))) (*.f64 1/2 (/.f64 1 (pow.f64 n 2))))))) (pow.f64 x 3))) (+.f64 (*.f64 1/2 (/.f64 (-.f64 (*.f64 2 (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n)))) (/.f64 1 (pow.f64 n 2))) (pow.f64 x 2))) (/.f64 1 (*.f64 n x)))))
(/.f64 1 (*.f64 n x))
(+.f64 (*.f64 1/2 (/.f64 (-.f64 (*.f64 2 (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n)))) (/.f64 1 (pow.f64 n 2))) (pow.f64 x 2))) (/.f64 1 (*.f64 n x)))
(+.f64 (*.f64 -1/6 (/.f64 (-.f64 (+.f64 (*.f64 6 (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (+.f64 (*.f64 1/6 (/.f64 1 (pow.f64 n 3))) (*.f64 1/3 (/.f64 1 n))))) (*.f64 6 (/.f64 (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n))) n))) (*.f64 2 (/.f64 1 (pow.f64 n 3)))) (pow.f64 x 3))) (+.f64 (*.f64 1/2 (/.f64 (-.f64 (*.f64 2 (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n)))) (/.f64 1 (pow.f64 n 2))) (pow.f64 x 2))) (/.f64 1 (*.f64 n x))))
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(/.f64 (log.f64 (/.f64 (+.f64 1 x) x)) n)
(/.f64 (log.f64 (/.f64 (+.f64 1 x) x)) n)
(/.f64 (log.f64 (/.f64 (+.f64 1 x) x)) n)
(/.f64 (log.f64 (/.f64 (+.f64 1 x) x)) n)
(/.f64 (log.f64 (/.f64 (+.f64 1 x) x)) n)
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(pow.f64 (pow.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) 2)
(sqrt.f64 (pow.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) 2))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) 3))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)))
(exp.f64 (log.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)))
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) 1))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (/.f64 (+.f64 1 x) x) (/.f64 1 n)))) 1)
(*.f64 1 (pow.f64 (/.f64 (+.f64 1 x) x) (/.f64 1 n)))
(*.f64 (pow.f64 (/.f64 (+.f64 1 x) x) (/.f64 1 n)) 1)
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 1 x) x) (/.f64 1 n))) (pow.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 1 x) x) (/.f64 1 n))) 2))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 1 x) x) (/.f64 1 n))) 2) (cbrt.f64 (pow.f64 (/.f64 (+.f64 1 x) x) (/.f64 1 n))))
(*.f64 (sqrt.f64 (pow.f64 (/.f64 (+.f64 1 x) x) (/.f64 1 n))) (sqrt.f64 (pow.f64 (/.f64 (+.f64 1 x) x) (/.f64 1 n))))
(*.f64 (pow.f64 1 (/.f64 1 n)) (pow.f64 (/.f64 (+.f64 1 x) x) (/.f64 1 n)))
(*.f64 (pow.f64 (+.f64 1 x) (/.f64 1 n)) (pow.f64 (/.f64 1 x) (/.f64 1 n)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 x) x)) 2) (/.f64 1 n)) (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 x) x)) (/.f64 1 n)))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 (+.f64 1 x) x)) (/.f64 1 n)) (pow.f64 (sqrt.f64 (/.f64 (+.f64 1 x) x)) (/.f64 1 n)))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 1 x) x) (*.f64 2 (/.f64 1 n))))
(log.f64 (exp.f64 (pow.f64 (/.f64 (+.f64 1 x) x) (/.f64 1 n))))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (/.f64 (+.f64 1 x) x) (/.f64 1 n)))))
(cbrt.f64 (pow.f64 (pow.f64 (/.f64 (+.f64 1 x) x) (/.f64 1 n)) 3))
(expm1.f64 (log1p.f64 (pow.f64 (/.f64 (+.f64 1 x) x) (/.f64 1 n))))
(exp.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))
(log1p.f64 (expm1.f64 (pow.f64 (/.f64 (+.f64 1 x) x) (/.f64 1 n))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (/.f64 (log.f64 x) n) 2))) 1)
(*.f64 1 (pow.f64 (/.f64 (log.f64 x) n) 2))
(*.f64 (log.f64 x) (*.f64 (/.f64 1 n) (/.f64 (log.f64 x) n)))
(*.f64 (/.f64 (log.f64 x) n) (/.f64 (log.f64 x) n))
(*.f64 (pow.f64 (/.f64 (log.f64 x) n) 2) 1)
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 x) n)) 2) (cbrt.f64 (pow.f64 (/.f64 (log.f64 x) n) 4)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 x) n)) 2) (*.f64 (cbrt.f64 (/.f64 (log.f64 x) n)) (/.f64 (log.f64 x) n)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (log.f64 x) n) 4)) (pow.f64 (cbrt.f64 (/.f64 (log.f64 x) n)) 2))
(*.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n -2))
(*.f64 (sqrt.f64 (/.f64 (log.f64 x) n)) (*.f64 (sqrt.f64 (/.f64 (log.f64 x) n)) (/.f64 (log.f64 x) n)))
(*.f64 (*.f64 (/.f64 (log.f64 x) n) (sqrt.f64 (/.f64 (log.f64 x) n))) (sqrt.f64 (/.f64 (log.f64 x) n)))
(*.f64 (*.f64 (/.f64 (log.f64 x) n) (log.f64 x)) (/.f64 1 n))
(*.f64 (*.f64 (/.f64 (log.f64 x) n) (pow.f64 (cbrt.f64 (/.f64 (log.f64 x) n)) 2)) (cbrt.f64 (/.f64 (log.f64 x) n)))
(/.f64 1 (*.f64 (/.f64 n (log.f64 x)) (/.f64 n (log.f64 x))))
(/.f64 (log.f64 x) (*.f64 (/.f64 n (log.f64 x)) n))
(/.f64 (log.f64 x) (*.f64 n (/.f64 n (log.f64 x))))
(/.f64 (/.f64 (log.f64 x) n) (/.f64 n (log.f64 x)))
(/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))
(/.f64 (neg.f64 (log.f64 x)) (*.f64 (/.f64 n (log.f64 x)) (neg.f64 n)))
(/.f64 (*.f64 (neg.f64 (log.f64 x)) 1) (*.f64 (neg.f64 n) (/.f64 n (log.f64 x))))
(/.f64 (*.f64 (neg.f64 (log.f64 x)) (neg.f64 (log.f64 x))) (*.f64 (neg.f64 n) (neg.f64 n)))
(/.f64 (*.f64 (log.f64 x) (neg.f64 (log.f64 x))) (*.f64 n (neg.f64 n)))
(/.f64 (*.f64 (neg.f64 (log.f64 x)) (log.f64 x)) (*.f64 (neg.f64 n) n))
(/.f64 (*.f64 (/.f64 (log.f64 x) n) (log.f64 x)) n)
(/.f64 (*.f64 (/.f64 (log.f64 x) n) (neg.f64 (log.f64 x))) (neg.f64 n))
(/.f64 (*.f64 (log.f64 x) (/.f64 (log.f64 x) n)) n)
(/.f64 (*.f64 (neg.f64 (log.f64 x)) (/.f64 (log.f64 x) n)) (neg.f64 n))
(sqrt.f64 (pow.f64 (/.f64 (log.f64 x) n) 4))
(log.f64 (exp.f64 (pow.f64 (/.f64 (log.f64 x) n) 2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (/.f64 (log.f64 x) n) 2))))
(cbrt.f64 (pow.f64 (pow.f64 (/.f64 (log.f64 x) n) 2) 3))
(expm1.f64 (log1p.f64 (pow.f64 (/.f64 (log.f64 x) n) 2)))
(exp.f64 (*.f64 2 (log.f64 (/.f64 (log.f64 x) n))))
(exp.f64 (*.f64 (*.f64 2 (log.f64 (/.f64 (log.f64 x) n))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (/.f64 (log.f64 x) n) 2)))
(+.f64 (*.f64 (pow.f64 (/.f64 (log.f64 x) n) 2) -1/2) (/.f64 (neg.f64 (log.f64 x)) n))
(+.f64 (*.f64 (pow.f64 (/.f64 (log.f64 x) n) 2) -1/2) (*.f64 (/.f64 (neg.f64 (log.f64 x)) n) 1))
(+.f64 (-.f64 (*.f64 (pow.f64 (/.f64 (log.f64 x) n) 2) -1/2) (/.f64 (log.f64 x) n)) (fma.f64 (/.f64 (neg.f64 (log.f64 x)) n) 1 (/.f64 (log.f64 x) n)))
(+.f64 (-.f64 (*.f64 (pow.f64 (/.f64 (log.f64 x) n) 2) -1/2) (/.f64 (log.f64 x) n)) (fma.f64 (neg.f64 (/.f64 1 n)) (log.f64 x) (/.f64 (log.f64 x) n)))
(+.f64 (-.f64 (*.f64 (pow.f64 (/.f64 (log.f64 x) n) 2) -1/2) (/.f64 (log.f64 x) n)) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 (log.f64 x) n))) (pow.f64 (cbrt.f64 (/.f64 (log.f64 x) n)) 2) (/.f64 (log.f64 x) n)))
(+.f64 (-.f64 (*.f64 (pow.f64 (/.f64 (log.f64 x) n) 2) -1/2) (/.f64 (log.f64 x) n)) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 (log.f64 x) n))) (sqrt.f64 (/.f64 (log.f64 x) n)) (/.f64 (log.f64 x) n)))
(+.f64 (/.f64 (neg.f64 (log.f64 x)) n) (*.f64 (pow.f64 (/.f64 (log.f64 x) n) 2) -1/2))
(*.f64 1 (-.f64 (*.f64 (pow.f64 (/.f64 (log.f64 x) n) 2) -1/2) (/.f64 (log.f64 x) n)))
(*.f64 (-.f64 (*.f64 (pow.f64 (/.f64 (log.f64 x) n) 2) -1/2) (/.f64 (log.f64 x) n)) 1)
(*.f64 (cbrt.f64 (-.f64 (*.f64 (pow.f64 (/.f64 (log.f64 x) n) 2) -1/2) (/.f64 (log.f64 x) n))) (pow.f64 (cbrt.f64 (-.f64 (*.f64 (pow.f64 (/.f64 (log.f64 x) n) 2) -1/2) (/.f64 (log.f64 x) n))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 (pow.f64 (/.f64 (log.f64 x) n) 2) -1/2) (/.f64 (log.f64 x) n))) 2) (cbrt.f64 (-.f64 (*.f64 (pow.f64 (/.f64 (log.f64 x) n) 2) -1/2) (/.f64 (log.f64 x) n))))
(*.f64 (sqrt.f64 (-.f64 (*.f64 (pow.f64 (/.f64 (log.f64 x) n) 2) -1/2) (/.f64 (log.f64 x) n))) (sqrt.f64 (-.f64 (*.f64 (pow.f64 (/.f64 (log.f64 x) n) 2) -1/2) (/.f64 (log.f64 x) n))))
(*.f64 (-.f64 (*.f64 (pow.f64 (pow.f64 (/.f64 (log.f64 x) n) 2) 3) -1/8) (pow.f64 (/.f64 (log.f64 x) n) 3)) (/.f64 1 (+.f64 (+.f64 (*.f64 (pow.f64 (/.f64 (log.f64 x) n) 4) 1/4) (pow.f64 (/.f64 (log.f64 x) n) 2)) (*.f64 -1/2 (pow.f64 (/.f64 (log.f64 x) n) 3)))))
(*.f64 (-.f64 (*.f64 (pow.f64 (/.f64 (log.f64 x) n) 4) 1/4) (pow.f64 (/.f64 (log.f64 x) n) 2)) (/.f64 1 (fma.f64 (pow.f64 (/.f64 (log.f64 x) n) 2) -1/2 (/.f64 (log.f64 x) n))))
(*.f64 (+.f64 (*.f64 (/.f64 (log.f64 x) n) (sqrt.f64 -1/2)) (sqrt.f64 (/.f64 (log.f64 x) n))) (-.f64 (*.f64 (/.f64 (log.f64 x) n) (sqrt.f64 -1/2)) (sqrt.f64 (/.f64 (log.f64 x) n))))
(/.f64 1 (/.f64 (+.f64 (+.f64 (*.f64 (pow.f64 (/.f64 (log.f64 x) n) 4) 1/4) (pow.f64 (/.f64 (log.f64 x) n) 2)) (*.f64 -1/2 (pow.f64 (/.f64 (log.f64 x) n) 3))) (-.f64 (*.f64 (pow.f64 (pow.f64 (/.f64 (log.f64 x) n) 2) 3) -1/8) (pow.f64 (/.f64 (log.f64 x) n) 3))))
(/.f64 1 (/.f64 (fma.f64 (pow.f64 (/.f64 (log.f64 x) n) 2) -1/2 (/.f64 (log.f64 x) n)) (-.f64 (*.f64 (pow.f64 (/.f64 (log.f64 x) n) 4) 1/4) (pow.f64 (/.f64 (log.f64 x) n) 2))))
(/.f64 (-.f64 (*.f64 (pow.f64 (pow.f64 (/.f64 (log.f64 x) n) 2) 3) -1/8) (pow.f64 (/.f64 (log.f64 x) n) 3)) (+.f64 (+.f64 (*.f64 (pow.f64 (/.f64 (log.f64 x) n) 4) 1/4) (pow.f64 (/.f64 (log.f64 x) n) 2)) (*.f64 -1/2 (pow.f64 (/.f64 (log.f64 x) n) 3))))
(/.f64 (-.f64 (*.f64 (pow.f64 (/.f64 (log.f64 x) n) 4) 1/4) (pow.f64 (/.f64 (log.f64 x) n) 2)) (fma.f64 (pow.f64 (/.f64 (log.f64 x) n) 2) -1/2 (/.f64 (log.f64 x) n)))
(/.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 (pow.f64 (/.f64 (log.f64 x) n) 2) 3) -1/8) (pow.f64 (/.f64 (log.f64 x) n) 3))) (neg.f64 (+.f64 (+.f64 (*.f64 (pow.f64 (/.f64 (log.f64 x) n) 4) 1/4) (pow.f64 (/.f64 (log.f64 x) n) 2)) (*.f64 -1/2 (pow.f64 (/.f64 (log.f64 x) n) 3)))))
(/.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 (/.f64 (log.f64 x) n) 4) 1/4) (pow.f64 (/.f64 (log.f64 x) n) 2))) (neg.f64 (fma.f64 (pow.f64 (/.f64 (log.f64 x) n) 2) -1/2 (/.f64 (log.f64 x) n))))
(/.f64 (+.f64 (*.f64 (pow.f64 (pow.f64 (/.f64 (log.f64 x) n) 2) 3) -1/8) (pow.f64 (/.f64 (neg.f64 (log.f64 x)) n) 3)) (+.f64 (*.f64 (pow.f64 (/.f64 (log.f64 x) n) 4) 1/4) (-.f64 (*.f64 (/.f64 (neg.f64 (log.f64 x)) n) (/.f64 (neg.f64 (log.f64 x)) n)) (*.f64 (*.f64 (pow.f64 (/.f64 (log.f64 x) n) 2) -1/2) (/.f64 (neg.f64 (log.f64 x)) n)))))
(/.f64 (-.f64 (*.f64 (pow.f64 (/.f64 (log.f64 x) n) 4) 1/4) (*.f64 (/.f64 (neg.f64 (log.f64 x)) n) (/.f64 (neg.f64 (log.f64 x)) n))) (-.f64 (*.f64 (pow.f64 (/.f64 (log.f64 x) n) 2) -1/2) (/.f64 (neg.f64 (log.f64 x)) n)))
(pow.f64 (-.f64 (*.f64 (pow.f64 (/.f64 (log.f64 x) n) 2) -1/2) (/.f64 (log.f64 x) n)) 1)
(pow.f64 (cbrt.f64 (-.f64 (*.f64 (pow.f64 (/.f64 (log.f64 x) n) 2) -1/2) (/.f64 (log.f64 x) n))) 3)
(pow.f64 (pow.f64 (-.f64 (*.f64 (pow.f64 (/.f64 (log.f64 x) n) 2) -1/2) (/.f64 (log.f64 x) n)) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 (*.f64 (pow.f64 (/.f64 (log.f64 x) n) 2) -1/2) (/.f64 (log.f64 x) n))) 2)
(sqrt.f64 (pow.f64 (-.f64 (*.f64 (pow.f64 (/.f64 (log.f64 x) n) 2) -1/2) (/.f64 (log.f64 x) n)) 2))
(log.f64 (exp.f64 (-.f64 (*.f64 (pow.f64 (/.f64 (log.f64 x) n) 2) -1/2) (/.f64 (log.f64 x) n))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (*.f64 (pow.f64 (/.f64 (log.f64 x) n) 2) -1/2) (/.f64 (log.f64 x) n)))))
(cbrt.f64 (pow.f64 (-.f64 (*.f64 (pow.f64 (/.f64 (log.f64 x) n) 2) -1/2) (/.f64 (log.f64 x) n)) 3))
(expm1.f64 (log1p.f64 (-.f64 (*.f64 (pow.f64 (/.f64 (log.f64 x) n) 2) -1/2) (/.f64 (log.f64 x) n))))
(exp.f64 (log.f64 (-.f64 (*.f64 (pow.f64 (/.f64 (log.f64 x) n) 2) -1/2) (/.f64 (log.f64 x) n))))
(exp.f64 (*.f64 (log.f64 (-.f64 (*.f64 (pow.f64 (/.f64 (log.f64 x) n) 2) -1/2) (/.f64 (log.f64 x) n))) 1))
(log1p.f64 (expm1.f64 (-.f64 (*.f64 (pow.f64 (/.f64 (log.f64 x) n) 2) -1/2) (/.f64 (log.f64 x) n))))
(fma.f64 1 (*.f64 (pow.f64 (/.f64 (log.f64 x) n) 2) -1/2) (/.f64 (neg.f64 (log.f64 x)) n))
(fma.f64 (pow.f64 (/.f64 (log.f64 x) n) 2) -1/2 (/.f64 (neg.f64 (log.f64 x)) n))
(fma.f64 -1/2 (pow.f64 (/.f64 (log.f64 x) n) 2) (/.f64 (neg.f64 (log.f64 x)) n))
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 (/.f64 (log.f64 x) n) 4) 1/4)) (cbrt.f64 (*.f64 (pow.f64 (/.f64 (log.f64 x) n) 2) -1/2)) (/.f64 (neg.f64 (log.f64 x)) n))
(fma.f64 (*.f64 (/.f64 (log.f64 x) n) (sqrt.f64 -1/2)) (*.f64 (/.f64 (log.f64 x) n) (sqrt.f64 -1/2)) (/.f64 (neg.f64 (log.f64 x)) n))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 (/.f64 (log.f64 x) n) 2) -1/2))) 1)
(pow.f64 (*.f64 (pow.f64 (/.f64 (log.f64 x) n) 2) -1/2) 1)
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 (/.f64 (log.f64 x) n) 2) -1/2)) 3)
(pow.f64 (*.f64 (pow.f64 (pow.f64 (/.f64 (log.f64 x) n) 2) 3) -1/8) 1/3)
(pow.f64 (*.f64 (/.f64 (log.f64 x) n) (sqrt.f64 -1/2)) 2)
(sqrt.f64 (*.f64 (pow.f64 (/.f64 (log.f64 x) n) 4) 1/4))
(log.f64 (pow.f64 (exp.f64 -1/2) (pow.f64 (/.f64 (log.f64 x) n) 2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 (/.f64 (log.f64 x) n) 2) -1/2))))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 (/.f64 (log.f64 x) n) 2) 3) -1/8))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 (/.f64 (log.f64 x) n) 2) -1/2)))
(exp.f64 (log.f64 (*.f64 (pow.f64 (/.f64 (log.f64 x) n) 2) -1/2)))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 (/.f64 (log.f64 x) n) 2) -1/2)) 1))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 (/.f64 (log.f64 x) n) 2) -1/2)))
Outputs
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n x))
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n))
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n x))
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n))
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n x))
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n))
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n x))
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n))
(/.f64 (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (*.f64 n x))
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n))
(/.f64 (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (*.f64 n x))
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n))
(/.f64 (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (*.f64 n x))
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n))
(/.f64 (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (*.f64 n x))
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n))
(/.f64 (exp.f64 (/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))) n)) (*.f64 n x))
(/.f64 (exp.f64 (/.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x)))) n)) (*.f64 x n))
(/.f64 (exp.f64 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) n)) (*.f64 x n))
(/.f64 (exp.f64 (/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))) n)) (*.f64 n x))
(/.f64 (exp.f64 (/.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x)))) n)) (*.f64 x n))
(/.f64 (exp.f64 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) n)) (*.f64 x n))
(/.f64 (exp.f64 (/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))) n)) (*.f64 n x))
(/.f64 (exp.f64 (/.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x)))) n)) (*.f64 x n))
(/.f64 (exp.f64 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) n)) (*.f64 x n))
(/.f64 (exp.f64 (/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))) n)) (*.f64 n x))
(/.f64 (exp.f64 (/.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x)))) n)) (*.f64 x n))
(/.f64 (exp.f64 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) n)) (*.f64 x n))
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n x))
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n))
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n x))
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n))
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n x))
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1
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1
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1
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1
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(sqrt.f64 (*.f64 1/4 (pow.f64 (/.f64 (log.f64 x) n) 4)))
(log.f64 (pow.f64 (exp.f64 -1/2) (pow.f64 (/.f64 (log.f64 x) n) 2)))
(/.f64 (*.f64 -1/2 (pow.f64 (log.f64 x) 2)) (pow.f64 n 2))
(*.f64 -1/2 (pow.f64 (/.f64 (log.f64 x) n) 2))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 (/.f64 (log.f64 x) n) 2) -1/2))))
(/.f64 (*.f64 -1/2 (pow.f64 (log.f64 x) 2)) (pow.f64 n 2))
(*.f64 -1/2 (pow.f64 (/.f64 (log.f64 x) n) 2))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 (/.f64 (log.f64 x) n) 2) 3) -1/8))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 (/.f64 (log.f64 x) n) 2) -1/2)))
(/.f64 (*.f64 -1/2 (pow.f64 (log.f64 x) 2)) (pow.f64 n 2))
(*.f64 -1/2 (pow.f64 (/.f64 (log.f64 x) n) 2))
(exp.f64 (log.f64 (*.f64 (pow.f64 (/.f64 (log.f64 x) n) 2) -1/2)))
(/.f64 (*.f64 -1/2 (pow.f64 (log.f64 x) 2)) (pow.f64 n 2))
(*.f64 -1/2 (pow.f64 (/.f64 (log.f64 x) n) 2))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 (/.f64 (log.f64 x) n) 2) -1/2)) 1))
(/.f64 (*.f64 -1/2 (pow.f64 (log.f64 x) 2)) (pow.f64 n 2))
(*.f64 -1/2 (pow.f64 (/.f64 (log.f64 x) n) 2))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 (/.f64 (log.f64 x) n) 2) -1/2)))
(/.f64 (*.f64 -1/2 (pow.f64 (log.f64 x) 2)) (pow.f64 n 2))
(*.f64 -1/2 (pow.f64 (/.f64 (log.f64 x) n) 2))

eval606.0ms (0.6%)

Compiler

Compiled 32516 to 18458 computations (43.2% saved)

prune238.0ms (0.3%)

Pruning

32 alts after pruning (26 fresh and 6 done)

PrunedKeptTotal
New200292011
Fresh51722
Picked055
Done011
Total2007322039
Accuracy
100.0%
Counts
2039 → 32
Alt Table
Click to see full alt table
StatusAccuracyProgram
32.0%
(pow.f64 (pow.f64 (*.f64 x n) -1/2) 2)
62.6%
(/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n))
63.0%
(/.f64 (/.f64 (pow.f64 x (/.f64 1 n)) n) x)
27.5%
(/.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 6) (pow.f64 x (/.f64 6 n))) (+.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 4) (*.f64 (pow.f64 x (/.f64 2 n)) (+.f64 (pow.f64 x (/.f64 2 n)) (pow.f64 (+.f64 x 1) (/.f64 2 n)))))) (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))))
47.0%
(/.f64 (/.f64 1 x) n)
34.3%
(/.f64 (-.f64 (/.f64 1 x) (/.f64 1/2 (pow.f64 x 2))) n)
27.3%
(/.f64 (-.f64 x (log.f64 x)) n)
27.5%
(/.f64 (-.f64 1 (pow.f64 x (/.f64 3 n))) (+.f64 1 (+.f64 (pow.f64 x (/.f64 1 n)) (pow.f64 x (/.f64 2 n)))))
27.5%
(/.f64 (-.f64 1 (pow.f64 x (/.f64 2 n))) (+.f64 1 (pow.f64 x (/.f64 1 n))))
44.8%
(/.f64 (+.f64 (/.f64 1/3 (pow.f64 x 3)) (-.f64 (/.f64 1 x) (/.f64 1/2 (pow.f64 x 2)))) n)
27.7%
(/.f64 (neg.f64 (log.f64 x)) n)
57.5%
(/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n)
57.0%
(/.f64 (expm1.f64 (log1p.f64 (-.f64 (log1p.f64 x) (log.f64 x)))) n)
57.3%
(/.f64 1 (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x))))
56.7%
(/.f64 1 (*.f64 (-.f64 (+.f64 x 1) 1) n))
46.8%
(/.f64 1 (*.f64 x (/.f64 1 (/.f64 1 n))))
46.8%
(/.f64 1 (*.f64 x n))
34.1%
(-.f64 (/.f64 1 (*.f64 x n)) (/.f64 1/2 (*.f64 n (pow.f64 x 2))))
31.0%
(-.f64 (+.f64 1 (/.f64 x n)) (pow.f64 x (/.f64 1 n)))
21.1%
(-.f64 (*.f64 -1/2 (pow.f64 (/.f64 (log.f64 x) n) 2)) (pow.f64 (sqrt.f64 (/.f64 (log.f64 x) n)) 2))
36.2%
(-.f64 (*.f64 -1/2 (pow.f64 (/.f64 (log.f64 x) n) 2)) (/.f64 (log.f64 x) (cbrt.f64 (pow.f64 n 3))))
33.8%
(-.f64 (*.f64 -1/2 (pow.f64 (/.f64 (log.f64 x) n) 2)) (/.f64 (log.f64 x) n))
33.6%
(-.f64 (*.f64 -1/2 (pow.f64 (/.f64 (log.f64 x) n) 2)) (*.f64 (cbrt.f64 (pow.f64 (log.f64 x) 2)) (/.f64 (cbrt.f64 (log.f64 x)) n)))
62.2%
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))
42.7%
(-.f64 1 (pow.f64 x (/.f64 1 n)))
37.2%
(+.f64 (/.f64 1/3 (*.f64 n (pow.f64 x 3))) (-.f64 (/.f64 1 (*.f64 x n)) (/.f64 1/2 (*.f64 n (pow.f64 x 2)))))
63.0%
(*.f64 (/.f64 1 x) (/.f64 (pow.f64 x (/.f64 1 n)) n))
47.0%
(*.f64 (/.f64 1 x) (/.f64 1 n))
57.3%
(*.f64 (/.f64 1 n) (-.f64 (log1p.f64 x) (log.f64 x)))
31.3%
(sqrt.f64 (pow.f64 (*.f64 x n) -2))
56.0%
(log.f64 (pow.f64 (/.f64 (+.f64 x 1) x) (/.f64 1 n)))
33.5%
(log.f64 1)
Compiler

Compiled 821 to 584 computations (28.9% saved)

localize807.0ms (0.9%)

Algorithm
egg-herbie
Localize:

Found 20 expressions with local error:

NewAccuracyProgram
100.0%
n
100.0%
1
99.9%
(/.f64 (log1p.f64 x) n)
81.0%
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))
100.0%
2
100.0%
-1/2
99.8%
(pow.f64 (pow.f64 (*.f64 x n) -1/2) 2)
84.6%
(pow.f64 (*.f64 x n) -1/2)
100.0%
(log.f64 x)
100.0%
x
100.0%
n
99.9%
(/.f64 (-.f64 x (log.f64 x)) n)
100.0%
x
100.0%
n
100.0%
1
99.9%
(/.f64 (/.f64 1 x) n)
100.0%
x
100.0%
n
100.0%
1
99.9%
(/.f64 (/.f64 (pow.f64 x (/.f64 1 n)) n) x)
Rules
2626×associate-*r*
2254×fma-def
2096×fma-def
1740×associate-*l*
1636×times-frac
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
012103
124103
241103
394103
4273103
51000103
64897103
75544103
85666103
95869103
106162103
116708103
127621103
01038
11838
22138
01159
11659
22359
33559
46259
59259
615659
724759
843059
991759
10241659
11482559
12602259
13705759
01267
12261
24561
39061
429861
5147661
6166561
7188161
8209761
9237261
10270561
11578061
015129
126129
241129
386129
4218129
5609129
62010129
74006129
85941129
97233129
Stop Event
node limit
node limit
node limit
saturated
node limit
Calls
Call 1
Inputs
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))
(exp.f64 (/.f64 (log1p.f64 x) n))
(/.f64 (log1p.f64 x) n)
(log1p.f64 x)
x
n
(pow.f64 x (/.f64 1 n))
(/.f64 1 n)
1
Outputs
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))
(exp.f64 (/.f64 (log1p.f64 x) n))
(/.f64 (log1p.f64 x) n)
(log1p.f64 x)
x
n
(pow.f64 x (/.f64 1 n))
(/.f64 1 n)
1
Call 2
Inputs
(pow.f64 (pow.f64 (*.f64 x n) -1/2) 2)
(pow.f64 (*.f64 x n) -1/2)
(*.f64 x n)
x
n
-1/2
2
Outputs
(pow.f64 (pow.f64 (*.f64 x n) -1/2) 2)
(pow.f64 (*.f64 x n) -1)
(/.f64 1 (*.f64 x n))
(/.f64 (/.f64 1 x) n)
(pow.f64 (*.f64 x n) -1/2)
(*.f64 x n)
x
n
-1/2
2
Call 3
Inputs
(/.f64 (-.f64 x (log.f64 x)) n)
(-.f64 x (log.f64 x))
x
(log.f64 x)
n
Outputs
(/.f64 (-.f64 x (log.f64 x)) n)
(-.f64 x (log.f64 x))
x
(log.f64 x)
n
Call 4
Inputs
(/.f64 (/.f64 1 x) n)
(/.f64 1 x)
1
x
n
Outputs
(/.f64 (/.f64 1 x) n)
(/.f64 1 (*.f64 n x))
(/.f64 1 (*.f64 x n))
(/.f64 1 x)
1
x
n
Call 5
Inputs
(/.f64 (/.f64 (pow.f64 x (/.f64 1 n)) n) x)
(/.f64 (pow.f64 x (/.f64 1 n)) n)
(pow.f64 x (/.f64 1 n))
x
(/.f64 1 n)
1
n
Outputs
(/.f64 (/.f64 (pow.f64 x (/.f64 1 n)) n) x)
(/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n))
(/.f64 (pow.f64 x (/.f64 1 n)) n)
(pow.f64 x (/.f64 1 n))
x
(/.f64 1 n)
1
n
Compiler

Compiled 107 to 49 computations (54.2% saved)

series120.0ms (0.1%)

Counts
11 → 116
Calls

33 calls:

TimeVariablePointExpression
59.0ms
x
@-inf
(pow.f64 (*.f64 x n) -1/2)
16.0ms
n
@-inf
(pow.f64 (*.f64 x n) -1/2)
13.0ms
x
@0
(pow.f64 (*.f64 x n) -1/2)
10.0ms
x
@inf
(pow.f64 (*.f64 x n) -1/2)
7.0ms
n
@inf
(pow.f64 (*.f64 x n) -1/2)

rewrite286.0ms (0.3%)

Algorithm
batch-egg-rewrite
Rules
1764×prod-diff
520×expm1-udef
520×log1p-udef
364×log1p-expm1-u
234×associate-*r*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
023133
1348133
24987133
Stop Event
node limit
Counts
11 → 456
Calls
Call 1
Inputs
(/.f64 (/.f64 (pow.f64 x (/.f64 1 n)) n) x)
1
(/.f64 (/.f64 1 x) n)
1
(/.f64 (-.f64 x (log.f64 x)) n)
(log.f64 x)
(pow.f64 (*.f64 x n) -1/2)
(pow.f64 (pow.f64 (*.f64 x n) -1/2) 2)
-1/2
2
1
Outputs
(-.f64 (exp.f64 (log1p.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n)))) 1)
(*.f64 1 (/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n)))
(*.f64 (/.f64 1 n) (/.f64 (pow.f64 x (/.f64 1 n)) x))
(*.f64 (pow.f64 x (/.f64 1 n)) (/.f64 1 (*.f64 x n)))
(*.f64 (/.f64 (pow.f64 x (/.f64 1 n)) n) (/.f64 1 x))
(*.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n)) 1)
(*.f64 (/.f64 1 x) (/.f64 (pow.f64 x (/.f64 1 n)) n))
(*.f64 (pow.f64 (*.f64 x n) -1/2) (/.f64 (pow.f64 x (/.f64 1 n)) (sqrt.f64 (*.f64 x n))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 x (/.f64 1 n)) n)) 2) (*.f64 (cbrt.f64 (/.f64 (pow.f64 x (/.f64 1 n)) n)) (/.f64 1 x)))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n))) (pow.f64 (cbrt.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n))) 2) (cbrt.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n))))
(*.f64 (sqrt.f64 (/.f64 (pow.f64 x (/.f64 1 n)) n)) (*.f64 (sqrt.f64 (/.f64 (pow.f64 x (/.f64 1 n)) n)) (/.f64 1 x)))
(*.f64 (pow.f64 x -1/2) (/.f64 (/.f64 (pow.f64 x (/.f64 1 n)) n) (sqrt.f64 x)))
(*.f64 (sqrt.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n))) (sqrt.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n))))
(*.f64 (/.f64 (neg.f64 (pow.f64 x (/.f64 1 n))) n) (/.f64 -1 x))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 x n)) 2)) (/.f64 (pow.f64 x (/.f64 1 n)) (cbrt.f64 (*.f64 x n))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (pow.f64 x 2) (/.f64 1 n))) x) (/.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n))) n))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (pow.f64 x 2) (/.f64 1 n))) 1) (/.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n))) (*.f64 x n)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (pow.f64 x 2) (/.f64 1 n))) n) (/.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n))) x))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (pow.f64 x 2) (/.f64 1 n))) (pow.f64 (cbrt.f64 (*.f64 x n)) 2)) (cbrt.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (pow.f64 x 2) (/.f64 1 n))) (sqrt.f64 (*.f64 x n))) (/.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n))) (sqrt.f64 (*.f64 x n))))
(*.f64 (/.f64 (sqrt.f64 (pow.f64 x (/.f64 1 n))) x) (/.f64 (sqrt.f64 (pow.f64 x (/.f64 1 n))) n))
(*.f64 (/.f64 (sqrt.f64 (pow.f64 x (/.f64 1 n))) n) (/.f64 (sqrt.f64 (pow.f64 x (/.f64 1 n))) x))
(*.f64 (/.f64 (sqrt.f64 (pow.f64 x (/.f64 1 n))) 1) (/.f64 (sqrt.f64 (pow.f64 x (/.f64 1 n))) (*.f64 x n)))
(*.f64 (/.f64 (sqrt.f64 (pow.f64 x (/.f64 1 n))) (pow.f64 (cbrt.f64 (*.f64 x n)) 2)) (/.f64 (sqrt.f64 (pow.f64 x (/.f64 1 n))) (cbrt.f64 (*.f64 x n))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (/.f64 (pow.f64 x (/.f64 1 n)) n) (cbrt.f64 x)))
(*.f64 (/.f64 (pow.f64 x (/.f64 1 n)) 1) (/.f64 1 (*.f64 x n)))
(*.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (/.f64 1 n) (cbrt.f64 x)))
(*.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (sqrt.f64 x)) (/.f64 (/.f64 1 n) (sqrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 x (/.f64 1 n)) n)) 2) 1) (/.f64 (cbrt.f64 (/.f64 (pow.f64 x (/.f64 1 n)) n)) x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 x (/.f64 1 n)) n)) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 x (/.f64 1 n)) n)) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (/.f64 (pow.f64 x (/.f64 1 n)) n)) (sqrt.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (/.f64 (pow.f64 x (/.f64 1 n)) n)) 1) (/.f64 (sqrt.f64 (/.f64 (pow.f64 x (/.f64 1 n)) n)) x))
(*.f64 (/.f64 (sqrt.f64 (/.f64 (pow.f64 x (/.f64 1 n)) n)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (/.f64 (pow.f64 x (/.f64 1 n)) n)) (cbrt.f64 x)))
(*.f64 (*.f64 (/.f64 (pow.f64 x (/.f64 1 n)) n) (cbrt.f64 (pow.f64 x -2))) (/.f64 1 (cbrt.f64 x)))
(*.f64 (*.f64 (/.f64 (pow.f64 x (/.f64 1 n)) n) (pow.f64 x -1/2)) (pow.f64 x -1/2))
(pow.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n)) 1)
(pow.f64 (cbrt.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n))) 3)
(pow.f64 (pow.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n))) 2)
(pow.f64 (*.f64 x (/.f64 n (pow.f64 x (/.f64 1 n)))) -1)
(neg.f64 (/.f64 (/.f64 (pow.f64 x (/.f64 1 n)) n) (neg.f64 x)))
(sqrt.f64 (pow.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n)) 2))
(log.f64 (exp.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n)))))
(cbrt.f64 (pow.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n)) 3))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (pow.f64 x (/.f64 1 n)) n) 3) (pow.f64 (/.f64 1 x) 3)))
(cbrt.f64 (/.f64 (pow.f64 (pow.f64 x (/.f64 1 n)) 3) (pow.f64 (*.f64 x n) 3)))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 (pow.f64 x (/.f64 1 n)) n) 3) (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n))))
(exp.f64 (-.f64 (/.f64 (log.f64 x) n) (log.f64 (*.f64 x n))))
(exp.f64 (*.f64 (-.f64 (/.f64 (log.f64 x) n) (log.f64 (*.f64 x n))) 1))
(log1p.f64 (expm1.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (*.f64 x n)))) 1)
(*.f64 1 (/.f64 1 (*.f64 x n)))
(*.f64 (/.f64 1 n) (/.f64 1 x))
(*.f64 (/.f64 1 x) (/.f64 1 n))
(*.f64 (pow.f64 (*.f64 x n) -1/2) (pow.f64 (*.f64 x n) -1/2))
(*.f64 (/.f64 1 (*.f64 x n)) 1)
(*.f64 (/.f64 1 (cbrt.f64 (*.f64 x n))) (cbrt.f64 (pow.f64 (*.f64 x n) -2)))
(*.f64 (/.f64 1 (cbrt.f64 (*.f64 x n))) (*.f64 (cbrt.f64 (pow.f64 (*.f64 x n) -1/2)) (pow.f64 (*.f64 x n) -1/2)))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 x n) -2)) (/.f64 1 (cbrt.f64 (*.f64 x n))))
(*.f64 (cbrt.f64 (pow.f64 x -2)) (*.f64 (/.f64 1 (cbrt.f64 x)) (/.f64 1 n)))
(*.f64 (pow.f64 (*.f64 x n) -1/4) (*.f64 (pow.f64 (*.f64 x n) -1/4) (pow.f64 (*.f64 x n) -1/2)))
(*.f64 (pow.f64 n -1/2) (/.f64 (/.f64 1 x) (sqrt.f64 n)))
(*.f64 (pow.f64 x -1/2) (*.f64 (pow.f64 x -1/2) (/.f64 1 n)))
(*.f64 (pow.f64 x -1/2) (*.f64 (pow.f64 n -1/2) (pow.f64 (*.f64 x n) -1/2)))
(*.f64 (/.f64 -1 x) (/.f64 1 (neg.f64 n)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x n)) 2) -1) (pow.f64 (cbrt.f64 (*.f64 x n)) -1))
(*.f64 (pow.f64 (sqrt.f64 (*.f64 x n)) -1) (pow.f64 (sqrt.f64 (*.f64 x n)) -1))
(*.f64 (*.f64 (pow.f64 (*.f64 x n) -1/2) (pow.f64 (*.f64 x n) -1/4)) (pow.f64 (*.f64 x n) -1/4))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 n) 2)) (/.f64 (/.f64 1 x) (cbrt.f64 n)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x -2)) 1) (/.f64 (/.f64 1 (cbrt.f64 x)) n))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x -2)) (pow.f64 (cbrt.f64 n) 2)) (/.f64 1 (cbrt.f64 (*.f64 x n))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x -2)) (sqrt.f64 n)) (/.f64 (/.f64 1 (cbrt.f64 x)) (sqrt.f64 n)))
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simplify382.0ms (0.4%)

Algorithm
egg-herbie
Rules
700×associate-+r+
686×associate-+l+
636×associate-*r*
610×associate-*l*
528×associate-*r/
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0100541881
1251633668
Stop Event
node limit
Counts
572 → 665
Calls
Call 1
Inputs
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n x))
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(pow.f64 (cbrt.f64 (/.f64 (-.f64 x (log.f64 x)) n)) 3)
(pow.f64 (pow.f64 (/.f64 (-.f64 x (log.f64 x)) n) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (-.f64 x (log.f64 x)) n)) 2)
(pow.f64 (/.f64 n (-.f64 x (log.f64 x))) -1)
(neg.f64 (/.f64 (-.f64 x (log.f64 x)) (neg.f64 n)))
(sqrt.f64 (pow.f64 (/.f64 (-.f64 x (log.f64 x)) n) 2))
(log.f64 (exp.f64 (/.f64 (-.f64 x (log.f64 x)) n)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 x (log.f64 x)) n))))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 x (log.f64 x)) n) 3))
(cbrt.f64 (*.f64 (pow.f64 (-.f64 x (log.f64 x)) 3) (pow.f64 (/.f64 1 n) 3)))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 x (log.f64 x)) 3) (pow.f64 n 3)))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 x (log.f64 x)) n)))
(exp.f64 (log.f64 (/.f64 (-.f64 x (log.f64 x)) n)))
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 x (log.f64 x)) n)) 1))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 x (log.f64 x)) n)))
(+.f64 0 (log.f64 x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 x) 2)) (log.f64 (cbrt.f64 x)))
(+.f64 (log.f64 (sqrt.f64 x)) (log.f64 (sqrt.f64 x)))
(-.f64 (exp.f64 (log1p.f64 (log.f64 x))) 1)
(*.f64 1 (log.f64 x))
(*.f64 (log.f64 x) 1)
(*.f64 (cbrt.f64 (log.f64 x)) (pow.f64 (cbrt.f64 (log.f64 x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (cbrt.f64 (log.f64 x)))
(*.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 (log.f64 x)))
(pow.f64 (log.f64 x) 1)
(pow.f64 (cbrt.f64 (log.f64 x)) 3)
(pow.f64 (pow.f64 (log.f64 x) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 x)) 2)
(sqrt.f64 (pow.f64 (log.f64 x) 2))
(cbrt.f64 (pow.f64 (log.f64 x) 3))
(expm1.f64 (log1p.f64 (log.f64 x)))
(exp.f64 (log.f64 (log.f64 x)))
(exp.f64 (*.f64 (log.f64 (log.f64 x)) 1))
(log1p.f64 (-.f64 x 1))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (*.f64 x n) -1/2))) 1)
(*.f64 1 (pow.f64 (*.f64 x n) -1/2))
(*.f64 (pow.f64 (*.f64 x n) -1/2) 1)
(*.f64 (cbrt.f64 (pow.f64 (*.f64 x n) -1/2)) (/.f64 1 (cbrt.f64 (*.f64 x n))))
(*.f64 (/.f64 1 (cbrt.f64 (*.f64 x n))) (cbrt.f64 (pow.f64 (*.f64 x n) -1/2)))
(*.f64 (pow.f64 (*.f64 x n) -1/4) (pow.f64 (*.f64 x n) -1/4))
(*.f64 (pow.f64 n -1/2) (pow.f64 x -1/2))
(*.f64 (pow.f64 x -1/2) (pow.f64 n -1/2))
(*.f64 (pow.f64 1 -1/2) (pow.f64 (*.f64 x n) -1/2))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x n)) 2) -1/2) (pow.f64 (cbrt.f64 (*.f64 x n)) -1/2))
(*.f64 (pow.f64 (sqrt.f64 (*.f64 x n)) -1/2) (pow.f64 (sqrt.f64 (*.f64 x n)) -1/2))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (*.f64 x n) -2))) (sqrt.f64 (/.f64 1 (cbrt.f64 (*.f64 x n)))))
(/.f64 1 (sqrt.f64 (*.f64 x n)))
(/.f64 (pow.f64 x -1/2) (sqrt.f64 n))
(/.f64 (sqrt.f64 (/.f64 -1 x)) (sqrt.f64 (neg.f64 n)))
(sqrt.f64 (/.f64 1 (*.f64 x n)))
(fabs.f64 (pow.f64 (*.f64 x n) -1/2))
(log.f64 (exp.f64 (pow.f64 (*.f64 x n) -1/2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (*.f64 x n) -1/2))))
(cbrt.f64 (pow.f64 (*.f64 x n) -3/2))
(expm1.f64 (log1p.f64 (pow.f64 (*.f64 x n) -1/2)))
(exp.f64 (*.f64 -1/2 (log.f64 (*.f64 x n))))
(exp.f64 (*.f64 (*.f64 -1/2 (log.f64 (*.f64 x n))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (*.f64 x n) -1/2)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (*.f64 x n)))) 1)
(*.f64 1 (/.f64 1 (*.f64 x n)))
(*.f64 (/.f64 1 n) (/.f64 1 x))
(*.f64 (/.f64 1 x) (/.f64 1 n))
(*.f64 (pow.f64 (*.f64 x n) -1/2) (pow.f64 (*.f64 x n) -1/2))
(*.f64 (/.f64 1 (*.f64 x n)) 1)
(*.f64 (/.f64 1 (cbrt.f64 (*.f64 x n))) (cbrt.f64 (pow.f64 (*.f64 x n) -2)))
(*.f64 (/.f64 1 (cbrt.f64 (*.f64 x n))) (*.f64 (cbrt.f64 (pow.f64 (*.f64 x n) -1/2)) (pow.f64 (*.f64 x n) -1/2)))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 x n) -2)) (/.f64 1 (cbrt.f64 (*.f64 x n))))
(*.f64 (cbrt.f64 (pow.f64 x -2)) (*.f64 (/.f64 1 (cbrt.f64 x)) (/.f64 1 n)))
(*.f64 (pow.f64 (*.f64 x n) -1/4) (*.f64 (pow.f64 (*.f64 x n) -1/4) (pow.f64 (*.f64 x n) -1/2)))
(*.f64 (pow.f64 n -1/2) (/.f64 (/.f64 1 x) (sqrt.f64 n)))
(*.f64 (pow.f64 x -1/2) (*.f64 (pow.f64 x -1/2) (/.f64 1 n)))
(*.f64 (pow.f64 x -1/2) (*.f64 (pow.f64 n -1/2) (pow.f64 (*.f64 x n) -1/2)))
(*.f64 (/.f64 -1 x) (/.f64 1 (neg.f64 n)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x n)) 2) -1) (pow.f64 (cbrt.f64 (*.f64 x n)) -1))
(*.f64 (pow.f64 (sqrt.f64 (*.f64 x n)) -1) (pow.f64 (sqrt.f64 (*.f64 x n)) -1))
(*.f64 (*.f64 (pow.f64 (*.f64 x n) -1/2) (pow.f64 (*.f64 x n) -1/4)) (pow.f64 (*.f64 x n) -1/4))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 n) 2)) (/.f64 (/.f64 1 x) (cbrt.f64 n)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x -2)) 1) (/.f64 (/.f64 1 (cbrt.f64 x)) n))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x -2)) (pow.f64 (cbrt.f64 n) 2)) (/.f64 1 (cbrt.f64 (*.f64 x n))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x -2)) (sqrt.f64 n)) (/.f64 (/.f64 1 (cbrt.f64 x)) (sqrt.f64 n)))
(*.f64 (/.f64 (pow.f64 x -1/2) 1) (/.f64 (pow.f64 x -1/2) n))
(*.f64 (/.f64 (pow.f64 x -1/2) (pow.f64 (cbrt.f64 n) 2)) (/.f64 (pow.f64 x -1/2) (cbrt.f64 n)))
(*.f64 (*.f64 (/.f64 1 x) (cbrt.f64 (pow.f64 n -2))) (/.f64 1 (cbrt.f64 n)))
(*.f64 (*.f64 (/.f64 1 x) (pow.f64 n -1/2)) (pow.f64 n -1/2))
(*.f64 (*.f64 (pow.f64 (*.f64 x n) -1/2) (pow.f64 x -1/2)) (pow.f64 n -1/2))
(*.f64 (*.f64 (pow.f64 (*.f64 x n) -1/2) (/.f64 1 (cbrt.f64 (*.f64 x n)))) (cbrt.f64 (pow.f64 (*.f64 x n) -1/2)))
(/.f64 1 (*.f64 x n))
(/.f64 1 (*.f64 (neg.f64 x) (neg.f64 n)))
(/.f64 1 (/.f64 (*.f64 x n) 1))
(/.f64 (/.f64 1 n) x)
(/.f64 (/.f64 1 x) n)
(/.f64 (pow.f64 (*.f64 x n) -1/2) (sqrt.f64 (*.f64 x n)))
(/.f64 -1 (*.f64 x (neg.f64 n)))
(/.f64 -1 (*.f64 (neg.f64 x) n))
(/.f64 -1 (*.f64 n (neg.f64 x)))
(/.f64 -1 (neg.f64 (*.f64 x n)))
(/.f64 (cbrt.f64 (pow.f64 x -2)) (/.f64 n (/.f64 1 (cbrt.f64 x))))
(/.f64 (pow.f64 x -1/2) (/.f64 n (pow.f64 x -1/2)))
(/.f64 (/.f64 -1 x) (neg.f64 n))
(/.f64 (neg.f64 (/.f64 -1 x)) (neg.f64 (neg.f64 n)))
(/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 x n)) 2)) (cbrt.f64 (*.f64 x n)))
(/.f64 (/.f64 (/.f64 1 x) (sqrt.f64 n)) (sqrt.f64 n))
(/.f64 (*.f64 (/.f64 1 x) -1) (neg.f64 n))
(/.f64 (*.f64 -1 (/.f64 1 n)) (neg.f64 x))
(/.f64 (/.f64 (/.f64 1 x) 1) n)
(/.f64 (/.f64 (/.f64 1 x) (pow.f64 (cbrt.f64 n) 2)) (cbrt.f64 n))
(neg.f64 (/.f64 (/.f64 1 x) (neg.f64 n)))
(sqrt.f64 (pow.f64 (*.f64 x n) -2))
(log.f64 (exp.f64 (/.f64 1 (*.f64 x n))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (*.f64 x n)))))
(cbrt.f64 (pow.f64 (/.f64 1 (*.f64 x n)) 3))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 1 x) 3) (pow.f64 (/.f64 1 n) 3)))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 1 x) 3) (pow.f64 n 3)))
(expm1.f64 (log1p.f64 (/.f64 1 (*.f64 x n))))
(exp.f64 (neg.f64 (log.f64 (*.f64 x n))))
(exp.f64 (*.f64 (log.f64 (*.f64 x n)) -1))
(exp.f64 (*.f64 (neg.f64 (log.f64 (*.f64 x n))) 1))
(log1p.f64 (expm1.f64 (/.f64 1 (*.f64 x n))))
Outputs
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n x))
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n))
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n x))
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n))
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n x))
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n))
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n x))
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n))
(/.f64 (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (*.f64 n x))
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n))
(/.f64 (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (*.f64 n x))
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n))
(/.f64 (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (*.f64 n x))
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n))
(/.f64 (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (*.f64 n x))
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n))
(/.f64 (exp.f64 (/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))) n)) (*.f64 n x))
(/.f64 (exp.f64 (/.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x)))) n)) (*.f64 x n))
(/.f64 (exp.f64 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) n)) (*.f64 x n))
(/.f64 (exp.f64 (/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))) n)) (*.f64 n x))
(/.f64 (exp.f64 (/.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x)))) n)) (*.f64 x n))
(/.f64 (exp.f64 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) n)) (*.f64 x n))
(/.f64 (exp.f64 (/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))) n)) (*.f64 n x))
(/.f64 (exp.f64 (/.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x)))) n)) (*.f64 x n))
(/.f64 (exp.f64 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) n)) (*.f64 x n))
(/.f64 (exp.f64 (/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))) n)) (*.f64 n x))
(/.f64 (exp.f64 (/.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x)))) n)) (*.f64 x n))
(/.f64 (exp.f64 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) n)) (*.f64 x n))
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n x))
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n))
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n x))
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n))
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n x))
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n))
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n x))
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n))
(/.f64 1 (*.f64 n x))
(/.f64 1 (*.f64 x n))
(+.f64 (/.f64 1 (*.f64 n x)) (/.f64 (log.f64 x) (*.f64 (pow.f64 n 2) x)))
(+.f64 (/.f64 (log.f64 x) (*.f64 x (pow.f64 n 2))) (/.f64 1 (*.f64 x n)))
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 (pow.f64 n 3) x))) (+.f64 (/.f64 1 (*.f64 n x)) (/.f64 (log.f64 x) (*.f64 (pow.f64 n 2) x))))
(fma.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 x (pow.f64 n 3))) (+.f64 (/.f64 (log.f64 x) (*.f64 x (pow.f64 n 2))) (/.f64 1 (*.f64 x n))))
(+.f64 (fma.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 x (pow.f64 n 3))) (/.f64 1 (*.f64 x n))) (/.f64 (log.f64 x) (*.f64 x (pow.f64 n 2))))
(+.f64 (*.f64 1/6 (/.f64 (pow.f64 (log.f64 x) 3) (*.f64 (pow.f64 n 4) x))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 (pow.f64 n 3) x))) (+.f64 (/.f64 1 (*.f64 n x)) (/.f64 (log.f64 x) (*.f64 (pow.f64 n 2) x)))))
(fma.f64 1/6 (/.f64 (pow.f64 (log.f64 x) 3) (*.f64 x (pow.f64 n 4))) (fma.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 x (pow.f64 n 3))) (+.f64 (/.f64 (log.f64 x) (*.f64 x (pow.f64 n 2))) (/.f64 1 (*.f64 x n)))))
(fma.f64 1/6 (/.f64 (pow.f64 (log.f64 x) 3) (*.f64 x (pow.f64 n 4))) (+.f64 (fma.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 x (pow.f64 n 3))) (/.f64 1 (*.f64 x n))) (/.f64 (log.f64 x) (*.f64 x (pow.f64 n 2)))))
(/.f64 1 (*.f64 n x))
(/.f64 1 (*.f64 x n))
(+.f64 (/.f64 1 (*.f64 n x)) (/.f64 (log.f64 x) (*.f64 (pow.f64 n 2) x)))
(+.f64 (/.f64 (log.f64 x) (*.f64 x (pow.f64 n 2))) (/.f64 1 (*.f64 x n)))
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 (pow.f64 n 3) x))) (+.f64 (/.f64 1 (*.f64 n x)) (/.f64 (log.f64 x) (*.f64 (pow.f64 n 2) x))))
(fma.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 x (pow.f64 n 3))) (+.f64 (/.f64 (log.f64 x) (*.f64 x (pow.f64 n 2))) (/.f64 1 (*.f64 x n))))
(+.f64 (fma.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 x (pow.f64 n 3))) (/.f64 1 (*.f64 x n))) (/.f64 (log.f64 x) (*.f64 x (pow.f64 n 2))))
(+.f64 (*.f64 1/6 (/.f64 (pow.f64 (log.f64 x) 3) (*.f64 (pow.f64 n 4) x))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 (pow.f64 n 3) x))) (+.f64 (/.f64 1 (*.f64 n x)) (/.f64 (log.f64 x) (*.f64 (pow.f64 n 2) x)))))
(fma.f64 1/6 (/.f64 (pow.f64 (log.f64 x) 3) (*.f64 x (pow.f64 n 4))) (fma.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 x (pow.f64 n 3))) (+.f64 (/.f64 (log.f64 x) (*.f64 x (pow.f64 n 2))) (/.f64 1 (*.f64 x n)))))
(fma.f64 1/6 (/.f64 (pow.f64 (log.f64 x) 3) (*.f64 x (pow.f64 n 4))) (+.f64 (fma.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 x (pow.f64 n 3))) (/.f64 1 (*.f64 x n))) (/.f64 (log.f64 x) (*.f64 x (pow.f64 n 2)))))
(/.f64 1 (*.f64 n x))
(/.f64 1 (*.f64 x n))
(/.f64 1 (*.f64 n x))
(/.f64 1 (*.f64 x n))
(/.f64 1 (*.f64 n x))
(/.f64 1 (*.f64 x n))
(/.f64 1 (*.f64 n x))
(/.f64 1 (*.f64 x n))
(/.f64 1 (*.f64 n x))
(/.f64 1 (*.f64 x n))
(/.f64 1 (*.f64 n x))
(/.f64 1 (*.f64 x n))
(/.f64 1 (*.f64 n x))
(/.f64 1 (*.f64 x n))
(/.f64 1 (*.f64 n x))
(/.f64 1 (*.f64 x n))
(/.f64 1 (*.f64 n x))
(/.f64 1 (*.f64 x n))
(/.f64 1 (*.f64 n x))
(/.f64 1 (*.f64 x n))
(/.f64 1 (*.f64 n x))
(/.f64 1 (*.f64 x n))
(/.f64 1 (*.f64 n x))
(/.f64 1 (*.f64 x n))
(/.f64 1 (*.f64 n x))
(/.f64 1 (*.f64 x n))
(/.f64 1 (*.f64 n x))
(/.f64 1 (*.f64 x n))
(/.f64 1 (*.f64 n x))
(/.f64 1 (*.f64 x n))
(/.f64 1 (*.f64 n x))
(/.f64 1 (*.f64 x n))
(/.f64 1 (*.f64 n x))
(/.f64 1 (*.f64 x n))
(/.f64 1 (*.f64 n x))
(/.f64 1 (*.f64 x n))
(/.f64 1 (*.f64 n x))
(/.f64 1 (*.f64 x n))
(/.f64 1 (*.f64 n x))
(/.f64 1 (*.f64 x n))
(/.f64 1 (*.f64 n x))
(/.f64 1 (*.f64 x n))
(/.f64 1 (*.f64 n x))
(/.f64 1 (*.f64 x n))
(/.f64 1 (*.f64 n x))
(/.f64 1 (*.f64 x n))
(/.f64 1 (*.f64 n x))
(/.f64 1 (*.f64 x n))
(*.f64 -1 (/.f64 (log.f64 x) n))
(/.f64 (neg.f64 (log.f64 x)) n)
(/.f64 (log.f64 x) (neg.f64 n))
(+.f64 (*.f64 -1 (/.f64 (log.f64 x) n)) (/.f64 x n))
(/.f64 (-.f64 x (log.f64 x)) n)
(+.f64 (*.f64 -1 (/.f64 (log.f64 x) n)) (/.f64 x n))
(/.f64 (-.f64 x (log.f64 x)) n)
(+.f64 (*.f64 -1 (/.f64 (log.f64 x) n)) (/.f64 x n))
(/.f64 (-.f64 x (log.f64 x)) n)
(/.f64 x n)
(+.f64 (/.f64 x n) (/.f64 (log.f64 (/.f64 1 x)) n))
(/.f64 (-.f64 x (log.f64 x)) n)
(+.f64 (/.f64 x n) (/.f64 (log.f64 (/.f64 1 x)) n))
(/.f64 (-.f64 x (log.f64 x)) n)
(+.f64 (/.f64 x n) (/.f64 (log.f64 (/.f64 1 x)) n))
(/.f64 (-.f64 x (log.f64 x)) n)
(/.f64 x n)
(+.f64 (*.f64 -1 (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 x)) n)) (/.f64 (log.f64 -1) n))) (/.f64 x n))
(fma.f64 -1 (fma.f64 -1 (/.f64 (log.f64 (/.f64 -1 x)) n) (/.f64 (log.f64 -1) n)) (/.f64 x n))
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(/.f64 1 (*.f64 x n))
(exp.f64 (*.f64 (log.f64 (*.f64 x n)) -1))
(/.f64 1 (*.f64 x n))
(exp.f64 (*.f64 (neg.f64 (log.f64 (*.f64 x n))) 1))
(/.f64 1 (*.f64 x n))
(log1p.f64 (expm1.f64 (/.f64 1 (*.f64 x n))))
(/.f64 1 (*.f64 x n))

eval1.1s (1.2%)

Compiler

Compiled 43844 to 20124 computations (54.1% saved)

prune366.0ms (0.4%)

Pruning

35 alts after pruning (26 fresh and 9 done)

PrunedKeptTotal
New2302102312
Fresh51621
Picked235
Done066
Total2309352344
Accuracy
100.0%
Counts
2344 → 35
Alt Table
Click to see full alt table
StatusAccuracyProgram
32.0%
(pow.f64 (pow.f64 (*.f64 x n) -1/2) 2)
27.3%
(pow.f64 (/.f64 n (-.f64 x (log.f64 x))) -1)
62.6%
(/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n))
63.0%
(/.f64 (/.f64 (pow.f64 x (/.f64 1 n)) n) x)
56.9%
(/.f64 (/.f64 1 (-.f64 (+.f64 x 1) 1)) n)
47.0%
(/.f64 (/.f64 1 x) (/.f64 1 (/.f64 1 n)))
47.0%
(/.f64 (/.f64 1 x) n)
47.0%
(/.f64 (/.f64 1 n) x)
34.3%
(/.f64 (-.f64 (/.f64 1 x) (/.f64 1/2 (pow.f64 x 2))) n)
20.9%
(/.f64 (-.f64 x (log.f64 (pow.f64 (pow.f64 x 3) 1/3))) n)
11.9%
(/.f64 (-.f64 x (log.f64 x)) (exp.f64 (log.f64 n)))
27.5%
(/.f64 (-.f64 1 (pow.f64 x (/.f64 3 n))) (+.f64 1 (+.f64 (pow.f64 x (/.f64 1 n)) (pow.f64 x (/.f64 2 n)))))
27.5%
(/.f64 (-.f64 1 (pow.f64 x (/.f64 2 n))) (+.f64 1 (pow.f64 x (/.f64 1 n))))
44.8%
(/.f64 (+.f64 (/.f64 1/3 (pow.f64 x 3)) (-.f64 (/.f64 1 x) (/.f64 1/2 (pow.f64 x 2)))) n)
27.7%
(/.f64 (neg.f64 (log.f64 x)) n)
57.5%
(/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n)
4.4%
(/.f64 x n)
46.8%
(/.f64 1 (*.f64 x (/.f64 1 (/.f64 1 n))))
46.8%
(/.f64 1 (*.f64 x n))
34.1%
(-.f64 (/.f64 1 (*.f64 x n)) (/.f64 1/2 (*.f64 n (pow.f64 x 2))))
31.0%
(-.f64 (+.f64 1 (/.f64 x n)) (pow.f64 x (/.f64 1 n)))
21.1%
(-.f64 (*.f64 -1/2 (pow.f64 (/.f64 (log.f64 x) n) 2)) (pow.f64 (sqrt.f64 (/.f64 (log.f64 x) n)) 2))
36.2%
(-.f64 (*.f64 -1/2 (pow.f64 (/.f64 (log.f64 x) n) 2)) (/.f64 (log.f64 x) (cbrt.f64 (pow.f64 n 3))))
33.8%
(-.f64 (*.f64 -1/2 (pow.f64 (/.f64 (log.f64 x) n) 2)) (/.f64 (log.f64 x) n))
33.6%
(-.f64 (*.f64 -1/2 (pow.f64 (/.f64 (log.f64 x) n) 2)) (*.f64 (cbrt.f64 (pow.f64 (log.f64 x) 2)) (/.f64 (cbrt.f64 (log.f64 x)) n)))
50.2%
(-.f64 (exp.f64 (/.f64 x n)) (pow.f64 x (/.f64 1 n)))
42.7%
(-.f64 1 (pow.f64 x (/.f64 1 n)))
37.2%
(+.f64 (/.f64 1/3 (*.f64 n (pow.f64 x 3))) (-.f64 (/.f64 1 (*.f64 x n)) (/.f64 1/2 (*.f64 n (pow.f64 x 2)))))
63.0%
(*.f64 (/.f64 1 x) (/.f64 (pow.f64 x (/.f64 1 n)) n))
47.0%
(*.f64 (/.f64 1 x) (/.f64 1 n))
27.3%
(*.f64 (/.f64 1 n) (-.f64 x (log.f64 x)))
27.0%
(*.f64 (cbrt.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))) (/.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) (pow.f64 x (/.f64 2 n)))) 2) (pow.f64 (cbrt.f64 (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))) 2)))
31.3%
(sqrt.f64 (pow.f64 (*.f64 x n) -2))
56.0%
(log.f64 (pow.f64 (/.f64 (+.f64 x 1) x) (/.f64 1 n)))
33.5%
(log.f64 1)
Compiler

Compiled 1231 to 753 computations (38.8% saved)

regimes903.0ms (1%)

Counts
55 → 4
Calls
Call 1
Inputs
(/.f64 x n)
(/.f64 1 (*.f64 x n))
(/.f64 (/.f64 1 n) x)
(/.f64 (/.f64 1 x) n)
(*.f64 (/.f64 1 x) (/.f64 1 n))
(/.f64 1 (*.f64 x (/.f64 1 (/.f64 1 n))))
(/.f64 1 (*.f64 (-.f64 (+.f64 x 1) 1) n))
(/.f64 (/.f64 1 x) (/.f64 1 (/.f64 1 n)))
(/.f64 (/.f64 1 (-.f64 (+.f64 x 1) 1)) n)
(log.f64 1)
(/.f64 (neg.f64 (log.f64 x)) n)
(/.f64 (-.f64 x (log.f64 x)) n)
(-.f64 1 (pow.f64 x (/.f64 1 n)))
(*.f64 (/.f64 1 n) (-.f64 x (log.f64 x)))
(/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n)
(/.f64 (/.f64 (pow.f64 x (/.f64 1 n)) n) x)
(/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n))
(*.f64 (/.f64 1 x) (/.f64 (pow.f64 x (/.f64 1 n)) n))
(-.f64 (+.f64 1 (/.f64 x n)) (pow.f64 x (/.f64 1 n)))
(/.f64 (-.f64 (/.f64 1 x) (/.f64 1/2 (pow.f64 x 2))) n)
(-.f64 (/.f64 1 (*.f64 x n)) (/.f64 1/2 (*.f64 n (pow.f64 x 2))))
(sqrt.f64 (pow.f64 (*.f64 x n) -2))
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(pow.f64 (pow.f64 (*.f64 x n) -1/2) 2)
(pow.f64 (/.f64 n (-.f64 x (log.f64 x))) -1)
(*.f64 (/.f64 1 n) (-.f64 (log1p.f64 x) (log.f64 x)))
(/.f64 1 (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x))))
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n))
(log.f64 (pow.f64 (/.f64 (+.f64 x 1) x) (/.f64 1 n)))
(-.f64 (exp.f64 (/.f64 x n)) (pow.f64 x (/.f64 1 n)))
(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))
(/.f64 (-.f64 1 (pow.f64 x (/.f64 2 n))) (+.f64 1 (pow.f64 x (/.f64 1 n))))
(/.f64 (+.f64 (/.f64 1/3 (pow.f64 x 3)) (-.f64 (/.f64 1 x) (/.f64 1/2 (pow.f64 x 2)))) n)
(+.f64 (/.f64 1/3 (*.f64 n (pow.f64 x 3))) (-.f64 (/.f64 1 (*.f64 x n)) (/.f64 1/2 (*.f64 n (pow.f64 x 2)))))
(/.f64 (-.f64 x (log.f64 x)) (exp.f64 (log.f64 n)))
(/.f64 (-.f64 x (log.f64 (pow.f64 (pow.f64 x 3) 1/3))) n)
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))
(pow.f64 (sqrt.f64 (/.f64 (pow.f64 x (-.f64 (/.f64 1 n) 1)) n)) 2)
(-.f64 (*.f64 -1/2 (pow.f64 (/.f64 (log.f64 x) n) 2)) (/.f64 (log.f64 x) n))
(/.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (sqrt.f64 (*.f64 x n))) (sqrt.f64 (*.f64 x n)))
(/.f64 (-.f64 1 (pow.f64 x (/.f64 3 n))) (+.f64 1 (+.f64 (pow.f64 x (/.f64 1 n)) (pow.f64 x (/.f64 2 n)))))
(/.f64 (expm1.f64 (log1p.f64 (-.f64 (log1p.f64 x) (log.f64 x)))) n)
(/.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (cbrt.f64 (*.f64 x n))) (pow.f64 (cbrt.f64 (*.f64 x n)) 2))
(log.f64 (exp.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))))
(-.f64 (*.f64 -1/2 (pow.f64 (/.f64 (log.f64 x) n) 2)) (/.f64 (log.f64 x) (cbrt.f64 (pow.f64 n 3))))
(-.f64 (*.f64 -1/2 (pow.f64 (/.f64 (log.f64 x) n) 2)) (pow.f64 (sqrt.f64 (/.f64 (log.f64 x) n)) 2))
(+.f64 (/.f64 (log1p.f64 x) n) (*.f64 (neg.f64 (sqrt.f64 (/.f64 (log.f64 x) n))) (sqrt.f64 (/.f64 (log.f64 x) n))))
(+.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n)) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (/.f64 (pow.f64 x 2) (+.f64 (/.f64 1/2 (pow.f64 n 2)) (/.f64 -1/2 n)))))
(-.f64 (*.f64 -1/2 (pow.f64 (/.f64 (log.f64 x) n) 2)) (*.f64 (cbrt.f64 (pow.f64 (log.f64 x) 2)) (/.f64 (cbrt.f64 (log.f64 x)) n)))
(/.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 2) (pow.f64 x (/.f64 2 n))) (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))))
(+.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) (*.f64 1/2 (-.f64 (/.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 n 2)) (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2)))))
(/.f64 (+.f64 (/.f64 (neg.f64 (*.f64 -2 (-.f64 (log1p.f64 x) (log.f64 x)))) n) (/.f64 (*.f64 2 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2))) (pow.f64 n 2))) (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))))
(+.f64 (*.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (pow.f64 x 2)) (+.f64 (/.f64 1/2 (pow.f64 n 2)) (/.f64 -1/2 n))) (+.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n)) (*.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (pow.f64 x 3)) (+.f64 (/.f64 1/6 (pow.f64 n 3)) (+.f64 (/.f64 1/3 n) (/.f64 -1/2 (pow.f64 n 2)))))))
(*.f64 (cbrt.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))) (/.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) (pow.f64 x (/.f64 2 n)))) 2) (pow.f64 (cbrt.f64 (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))) 2)))
(/.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 6) (pow.f64 x (/.f64 6 n))) (+.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 4) (*.f64 (pow.f64 x (/.f64 2 n)) (+.f64 (pow.f64 x (/.f64 2 n)) (pow.f64 (+.f64 x 1) (/.f64 2 n)))))) (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))))
Outputs
(/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n))
(/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n)
(+.f64 (*.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (pow.f64 x 2)) (+.f64 (/.f64 1/2 (pow.f64 n 2)) (/.f64 -1/2 n))) (+.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n)) (*.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (pow.f64 x 3)) (+.f64 (/.f64 1/6 (pow.f64 n 3)) (+.f64 (/.f64 1/3 n) (/.f64 -1/2 (pow.f64 n 2)))))))
(-.f64 (exp.f64 (/.f64 x n)) (pow.f64 x (/.f64 1 n)))
Calls

4 calls:

492.0ms
(/.f64 1 n)
225.0ms
x
174.0ms
n
8.0ms
(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))
Results
AccuracySegmentsBranch
85.7%6x
87.6%4n
84.7%3(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))
88.7%4(/.f64 1 n)
Compiler

Compiled 26 to 19 computations (26.9% saved)

regimes101.0ms (0.1%)

Counts
52 → 4
Calls
Call 1
Inputs
(/.f64 x n)
(/.f64 1 (*.f64 x n))
(/.f64 (/.f64 1 n) x)
(/.f64 (/.f64 1 x) n)
(*.f64 (/.f64 1 x) (/.f64 1 n))
(/.f64 1 (*.f64 x (/.f64 1 (/.f64 1 n))))
(/.f64 1 (*.f64 (-.f64 (+.f64 x 1) 1) n))
(/.f64 (/.f64 1 x) (/.f64 1 (/.f64 1 n)))
(/.f64 (/.f64 1 (-.f64 (+.f64 x 1) 1)) n)
(log.f64 1)
(/.f64 (neg.f64 (log.f64 x)) n)
(/.f64 (-.f64 x (log.f64 x)) n)
(-.f64 1 (pow.f64 x (/.f64 1 n)))
(*.f64 (/.f64 1 n) (-.f64 x (log.f64 x)))
(/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n)
(/.f64 (/.f64 (pow.f64 x (/.f64 1 n)) n) x)
(/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n))
(*.f64 (/.f64 1 x) (/.f64 (pow.f64 x (/.f64 1 n)) n))
(-.f64 (+.f64 1 (/.f64 x n)) (pow.f64 x (/.f64 1 n)))
(/.f64 (-.f64 (/.f64 1 x) (/.f64 1/2 (pow.f64 x 2))) n)
(-.f64 (/.f64 1 (*.f64 x n)) (/.f64 1/2 (*.f64 n (pow.f64 x 2))))
(sqrt.f64 (pow.f64 (*.f64 x n) -2))
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(pow.f64 (pow.f64 (*.f64 x n) -1/2) 2)
(pow.f64 (/.f64 n (-.f64 x (log.f64 x))) -1)
(*.f64 (/.f64 1 n) (-.f64 (log1p.f64 x) (log.f64 x)))
(/.f64 1 (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x))))
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n))
(log.f64 (pow.f64 (/.f64 (+.f64 x 1) x) (/.f64 1 n)))
(-.f64 (exp.f64 (/.f64 x n)) (pow.f64 x (/.f64 1 n)))
(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))
(/.f64 (-.f64 1 (pow.f64 x (/.f64 2 n))) (+.f64 1 (pow.f64 x (/.f64 1 n))))
(/.f64 (+.f64 (/.f64 1/3 (pow.f64 x 3)) (-.f64 (/.f64 1 x) (/.f64 1/2 (pow.f64 x 2)))) n)
(+.f64 (/.f64 1/3 (*.f64 n (pow.f64 x 3))) (-.f64 (/.f64 1 (*.f64 x n)) (/.f64 1/2 (*.f64 n (pow.f64 x 2)))))
(/.f64 (-.f64 x (log.f64 x)) (exp.f64 (log.f64 n)))
(/.f64 (-.f64 x (log.f64 (pow.f64 (pow.f64 x 3) 1/3))) n)
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))
(pow.f64 (sqrt.f64 (/.f64 (pow.f64 x (-.f64 (/.f64 1 n) 1)) n)) 2)
(-.f64 (*.f64 -1/2 (pow.f64 (/.f64 (log.f64 x) n) 2)) (/.f64 (log.f64 x) n))
(/.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (sqrt.f64 (*.f64 x n))) (sqrt.f64 (*.f64 x n)))
(/.f64 (-.f64 1 (pow.f64 x (/.f64 3 n))) (+.f64 1 (+.f64 (pow.f64 x (/.f64 1 n)) (pow.f64 x (/.f64 2 n)))))
(/.f64 (expm1.f64 (log1p.f64 (-.f64 (log1p.f64 x) (log.f64 x)))) n)
(/.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (cbrt.f64 (*.f64 x n))) (pow.f64 (cbrt.f64 (*.f64 x n)) 2))
(log.f64 (exp.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))))
(-.f64 (*.f64 -1/2 (pow.f64 (/.f64 (log.f64 x) n) 2)) (/.f64 (log.f64 x) (cbrt.f64 (pow.f64 n 3))))
(-.f64 (*.f64 -1/2 (pow.f64 (/.f64 (log.f64 x) n) 2)) (pow.f64 (sqrt.f64 (/.f64 (log.f64 x) n)) 2))
(+.f64 (/.f64 (log1p.f64 x) n) (*.f64 (neg.f64 (sqrt.f64 (/.f64 (log.f64 x) n))) (sqrt.f64 (/.f64 (log.f64 x) n))))
(+.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n)) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (/.f64 (pow.f64 x 2) (+.f64 (/.f64 1/2 (pow.f64 n 2)) (/.f64 -1/2 n)))))
(-.f64 (*.f64 -1/2 (pow.f64 (/.f64 (log.f64 x) n) 2)) (*.f64 (cbrt.f64 (pow.f64 (log.f64 x) 2)) (/.f64 (cbrt.f64 (log.f64 x)) n)))
(/.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 2) (pow.f64 x (/.f64 2 n))) (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))))
(+.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) (*.f64 1/2 (-.f64 (/.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 n 2)) (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2)))))
(/.f64 (+.f64 (/.f64 (neg.f64 (*.f64 -2 (-.f64 (log1p.f64 x) (log.f64 x)))) n) (/.f64 (*.f64 2 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2))) (pow.f64 n 2))) (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))))
Outputs
(/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n))
(/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n)
(+.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n)) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (/.f64 (pow.f64 x 2) (+.f64 (/.f64 1/2 (pow.f64 n 2)) (/.f64 -1/2 n)))))
(log.f64 (exp.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))))
Calls

1 calls:

97.0ms
(/.f64 1 n)
Results
AccuracySegmentsBranch
88.7%4(/.f64 1 n)
Compiler

Compiled 5 to 4 computations (20% saved)

regimes90.0ms (0.1%)

Counts
47 → 4
Calls
Call 1
Inputs
(/.f64 x n)
(/.f64 1 (*.f64 x n))
(/.f64 (/.f64 1 n) x)
(/.f64 (/.f64 1 x) n)
(*.f64 (/.f64 1 x) (/.f64 1 n))
(/.f64 1 (*.f64 x (/.f64 1 (/.f64 1 n))))
(/.f64 1 (*.f64 (-.f64 (+.f64 x 1) 1) n))
(/.f64 (/.f64 1 x) (/.f64 1 (/.f64 1 n)))
(/.f64 (/.f64 1 (-.f64 (+.f64 x 1) 1)) n)
(log.f64 1)
(/.f64 (neg.f64 (log.f64 x)) n)
(/.f64 (-.f64 x (log.f64 x)) n)
(-.f64 1 (pow.f64 x (/.f64 1 n)))
(*.f64 (/.f64 1 n) (-.f64 x (log.f64 x)))
(/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n)
(/.f64 (/.f64 (pow.f64 x (/.f64 1 n)) n) x)
(/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n))
(*.f64 (/.f64 1 x) (/.f64 (pow.f64 x (/.f64 1 n)) n))
(-.f64 (+.f64 1 (/.f64 x n)) (pow.f64 x (/.f64 1 n)))
(/.f64 (-.f64 (/.f64 1 x) (/.f64 1/2 (pow.f64 x 2))) n)
(-.f64 (/.f64 1 (*.f64 x n)) (/.f64 1/2 (*.f64 n (pow.f64 x 2))))
(sqrt.f64 (pow.f64 (*.f64 x n) -2))
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(pow.f64 (pow.f64 (*.f64 x n) -1/2) 2)
(pow.f64 (/.f64 n (-.f64 x (log.f64 x))) -1)
(*.f64 (/.f64 1 n) (-.f64 (log1p.f64 x) (log.f64 x)))
(/.f64 1 (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x))))
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n))
(log.f64 (pow.f64 (/.f64 (+.f64 x 1) x) (/.f64 1 n)))
(-.f64 (exp.f64 (/.f64 x n)) (pow.f64 x (/.f64 1 n)))
(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))
(/.f64 (-.f64 1 (pow.f64 x (/.f64 2 n))) (+.f64 1 (pow.f64 x (/.f64 1 n))))
(/.f64 (+.f64 (/.f64 1/3 (pow.f64 x 3)) (-.f64 (/.f64 1 x) (/.f64 1/2 (pow.f64 x 2)))) n)
(+.f64 (/.f64 1/3 (*.f64 n (pow.f64 x 3))) (-.f64 (/.f64 1 (*.f64 x n)) (/.f64 1/2 (*.f64 n (pow.f64 x 2)))))
(/.f64 (-.f64 x (log.f64 x)) (exp.f64 (log.f64 n)))
(/.f64 (-.f64 x (log.f64 (pow.f64 (pow.f64 x 3) 1/3))) n)
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))
(pow.f64 (sqrt.f64 (/.f64 (pow.f64 x (-.f64 (/.f64 1 n) 1)) n)) 2)
(-.f64 (*.f64 -1/2 (pow.f64 (/.f64 (log.f64 x) n) 2)) (/.f64 (log.f64 x) n))
(/.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (sqrt.f64 (*.f64 x n))) (sqrt.f64 (*.f64 x n)))
(/.f64 (-.f64 1 (pow.f64 x (/.f64 3 n))) (+.f64 1 (+.f64 (pow.f64 x (/.f64 1 n)) (pow.f64 x (/.f64 2 n)))))
(/.f64 (expm1.f64 (log1p.f64 (-.f64 (log1p.f64 x) (log.f64 x)))) n)
(/.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (cbrt.f64 (*.f64 x n))) (pow.f64 (cbrt.f64 (*.f64 x n)) 2))
(log.f64 (exp.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))))
(-.f64 (*.f64 -1/2 (pow.f64 (/.f64 (log.f64 x) n) 2)) (/.f64 (log.f64 x) (cbrt.f64 (pow.f64 n 3))))
(-.f64 (*.f64 -1/2 (pow.f64 (/.f64 (log.f64 x) n) 2)) (pow.f64 (sqrt.f64 (/.f64 (log.f64 x) n)) 2))
(+.f64 (/.f64 (log1p.f64 x) n) (*.f64 (neg.f64 (sqrt.f64 (/.f64 (log.f64 x) n))) (sqrt.f64 (/.f64 (log.f64 x) n))))
Outputs
(/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n))
(/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n)
(*.f64 (/.f64 1 x) (/.f64 (pow.f64 x (/.f64 1 n)) n))
(-.f64 (exp.f64 (/.f64 x n)) (pow.f64 x (/.f64 1 n)))
Calls

1 calls:

88.0ms
(/.f64 1 n)
Results
AccuracySegmentsBranch
88.7%4(/.f64 1 n)
Compiler

Compiled 5 to 4 computations (20% saved)

regimes184.0ms (0.2%)

Counts
29 → 5
Calls
Call 1
Inputs
(/.f64 x n)
(/.f64 1 (*.f64 x n))
(/.f64 (/.f64 1 n) x)
(/.f64 (/.f64 1 x) n)
(*.f64 (/.f64 1 x) (/.f64 1 n))
(/.f64 1 (*.f64 x (/.f64 1 (/.f64 1 n))))
(/.f64 1 (*.f64 (-.f64 (+.f64 x 1) 1) n))
(/.f64 (/.f64 1 x) (/.f64 1 (/.f64 1 n)))
(/.f64 (/.f64 1 (-.f64 (+.f64 x 1) 1)) n)
(log.f64 1)
(/.f64 (neg.f64 (log.f64 x)) n)
(/.f64 (-.f64 x (log.f64 x)) n)
(-.f64 1 (pow.f64 x (/.f64 1 n)))
(*.f64 (/.f64 1 n) (-.f64 x (log.f64 x)))
(/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n)
(/.f64 (/.f64 (pow.f64 x (/.f64 1 n)) n) x)
(/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n))
(*.f64 (/.f64 1 x) (/.f64 (pow.f64 x (/.f64 1 n)) n))
(-.f64 (+.f64 1 (/.f64 x n)) (pow.f64 x (/.f64 1 n)))
(/.f64 (-.f64 (/.f64 1 x) (/.f64 1/2 (pow.f64 x 2))) n)
(-.f64 (/.f64 1 (*.f64 x n)) (/.f64 1/2 (*.f64 n (pow.f64 x 2))))
(sqrt.f64 (pow.f64 (*.f64 x n) -2))
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)
(pow.f64 (pow.f64 (*.f64 x n) -1/2) 2)
(pow.f64 (/.f64 n (-.f64 x (log.f64 x))) -1)
(*.f64 (/.f64 1 n) (-.f64 (log1p.f64 x) (log.f64 x)))
(/.f64 1 (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x))))
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n))
(log.f64 (pow.f64 (/.f64 (+.f64 x 1) x) (/.f64 1 n)))
Outputs
(/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n))
(/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n)
(*.f64 (/.f64 1 x) (/.f64 (pow.f64 x (/.f64 1 n)) n))
(-.f64 (+.f64 1 (/.f64 x n)) (pow.f64 x (/.f64 1 n)))
(sqrt.f64 (pow.f64 (*.f64 x n) -2))
Calls

2 calls:

99.0ms
n
83.0ms
(/.f64 1 n)
Results
AccuracySegmentsBranch
86.8%6n
86.8%5(/.f64 1 n)
Compiler

Compiled 8 to 6 computations (25% saved)

regimes70.0ms (0.1%)

Counts
21 → 5
Calls
Call 1
Inputs
(/.f64 x n)
(/.f64 1 (*.f64 x n))
(/.f64 (/.f64 1 n) x)
(/.f64 (/.f64 1 x) n)
(*.f64 (/.f64 1 x) (/.f64 1 n))
(/.f64 1 (*.f64 x (/.f64 1 (/.f64 1 n))))
(/.f64 1 (*.f64 (-.f64 (+.f64 x 1) 1) n))
(/.f64 (/.f64 1 x) (/.f64 1 (/.f64 1 n)))
(/.f64 (/.f64 1 (-.f64 (+.f64 x 1) 1)) n)
(log.f64 1)
(/.f64 (neg.f64 (log.f64 x)) n)
(/.f64 (-.f64 x (log.f64 x)) n)
(-.f64 1 (pow.f64 x (/.f64 1 n)))
(*.f64 (/.f64 1 n) (-.f64 x (log.f64 x)))
(/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n)
(/.f64 (/.f64 (pow.f64 x (/.f64 1 n)) n) x)
(/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n))
(*.f64 (/.f64 1 x) (/.f64 (pow.f64 x (/.f64 1 n)) n))
(-.f64 (+.f64 1 (/.f64 x n)) (pow.f64 x (/.f64 1 n)))
(/.f64 (-.f64 (/.f64 1 x) (/.f64 1/2 (pow.f64 x 2))) n)
(-.f64 (/.f64 1 (*.f64 x n)) (/.f64 1/2 (*.f64 n (pow.f64 x 2))))
Outputs
(/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n))
(/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n)
(*.f64 (/.f64 1 x) (/.f64 (pow.f64 x (/.f64 1 n)) n))
(-.f64 (+.f64 1 (/.f64 x n)) (pow.f64 x (/.f64 1 n)))
(/.f64 1 (*.f64 (-.f64 (+.f64 x 1) 1) n))
Calls

1 calls:

69.0ms
(/.f64 1 n)
Results
AccuracySegmentsBranch
86.5%5(/.f64 1 n)
Compiler

Compiled 5 to 4 computations (20% saved)

regimes53.0ms (0.1%)

Counts
18 → 5
Calls
Call 1
Inputs
(/.f64 x n)
(/.f64 1 (*.f64 x n))
(/.f64 (/.f64 1 n) x)
(/.f64 (/.f64 1 x) n)
(*.f64 (/.f64 1 x) (/.f64 1 n))
(/.f64 1 (*.f64 x (/.f64 1 (/.f64 1 n))))
(/.f64 1 (*.f64 (-.f64 (+.f64 x 1) 1) n))
(/.f64 (/.f64 1 x) (/.f64 1 (/.f64 1 n)))
(/.f64 (/.f64 1 (-.f64 (+.f64 x 1) 1)) n)
(log.f64 1)
(/.f64 (neg.f64 (log.f64 x)) n)
(/.f64 (-.f64 x (log.f64 x)) n)
(-.f64 1 (pow.f64 x (/.f64 1 n)))
(*.f64 (/.f64 1 n) (-.f64 x (log.f64 x)))
(/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n)
(/.f64 (/.f64 (pow.f64 x (/.f64 1 n)) n) x)
(/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n))
(*.f64 (/.f64 1 x) (/.f64 (pow.f64 x (/.f64 1 n)) n))
Outputs
(/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n))
(/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n)
(*.f64 (/.f64 1 x) (/.f64 (pow.f64 x (/.f64 1 n)) n))
(-.f64 1 (pow.f64 x (/.f64 1 n)))
(/.f64 1 (*.f64 (-.f64 (+.f64 x 1) 1) n))
Calls

1 calls:

51.0ms
(/.f64 1 n)
Results
AccuracySegmentsBranch
86.5%5(/.f64 1 n)
Compiler

Compiled 5 to 4 computations (20% saved)

regimes47.0ms (0%)

Counts
17 → 5
Calls
Call 1
Inputs
(/.f64 x n)
(/.f64 1 (*.f64 x n))
(/.f64 (/.f64 1 n) x)
(/.f64 (/.f64 1 x) n)
(*.f64 (/.f64 1 x) (/.f64 1 n))
(/.f64 1 (*.f64 x (/.f64 1 (/.f64 1 n))))
(/.f64 1 (*.f64 (-.f64 (+.f64 x 1) 1) n))
(/.f64 (/.f64 1 x) (/.f64 1 (/.f64 1 n)))
(/.f64 (/.f64 1 (-.f64 (+.f64 x 1) 1)) n)
(log.f64 1)
(/.f64 (neg.f64 (log.f64 x)) n)
(/.f64 (-.f64 x (log.f64 x)) n)
(-.f64 1 (pow.f64 x (/.f64 1 n)))
(*.f64 (/.f64 1 n) (-.f64 x (log.f64 x)))
(/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n)
(/.f64 (/.f64 (pow.f64 x (/.f64 1 n)) n) x)
(/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n))
Outputs
(/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n))
(/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n)
(/.f64 (/.f64 (pow.f64 x (/.f64 1 n)) n) x)
(-.f64 1 (pow.f64 x (/.f64 1 n)))
(/.f64 1 (*.f64 (-.f64 (+.f64 x 1) 1) n))
Calls

1 calls:

46.0ms
(/.f64 1 n)
Results
AccuracySegmentsBranch
86.5%5(/.f64 1 n)
Compiler

Compiled 5 to 4 computations (20% saved)

regimes46.0ms (0%)

Counts
16 → 5
Calls
Call 1
Inputs
(/.f64 x n)
(/.f64 1 (*.f64 x n))
(/.f64 (/.f64 1 n) x)
(/.f64 (/.f64 1 x) n)
(*.f64 (/.f64 1 x) (/.f64 1 n))
(/.f64 1 (*.f64 x (/.f64 1 (/.f64 1 n))))
(/.f64 1 (*.f64 (-.f64 (+.f64 x 1) 1) n))
(/.f64 (/.f64 1 x) (/.f64 1 (/.f64 1 n)))
(/.f64 (/.f64 1 (-.f64 (+.f64 x 1) 1)) n)
(log.f64 1)
(/.f64 (neg.f64 (log.f64 x)) n)
(/.f64 (-.f64 x (log.f64 x)) n)
(-.f64 1 (pow.f64 x (/.f64 1 n)))
(*.f64 (/.f64 1 n) (-.f64 x (log.f64 x)))
(/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n)
(/.f64 (/.f64 (pow.f64 x (/.f64 1 n)) n) x)
Outputs
(/.f64 (/.f64 (pow.f64 x (/.f64 1 n)) n) x)
(/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n)
(/.f64 (/.f64 (pow.f64 x (/.f64 1 n)) n) x)
(-.f64 1 (pow.f64 x (/.f64 1 n)))
(/.f64 1 (*.f64 (-.f64 (+.f64 x 1) 1) n))
Calls

1 calls:

44.0ms
(/.f64 1 n)
Results
AccuracySegmentsBranch
86.5%5(/.f64 1 n)
Compiler

Compiled 5 to 4 computations (20% saved)

regimes209.0ms (0.2%)

Counts
15 → 7
Calls
Call 1
Inputs
(/.f64 x n)
(/.f64 1 (*.f64 x n))
(/.f64 (/.f64 1 n) x)
(/.f64 (/.f64 1 x) n)
(*.f64 (/.f64 1 x) (/.f64 1 n))
(/.f64 1 (*.f64 x (/.f64 1 (/.f64 1 n))))
(/.f64 1 (*.f64 (-.f64 (+.f64 x 1) 1) n))
(/.f64 (/.f64 1 x) (/.f64 1 (/.f64 1 n)))
(/.f64 (/.f64 1 (-.f64 (+.f64 x 1) 1)) n)
(log.f64 1)
(/.f64 (neg.f64 (log.f64 x)) n)
(/.f64 (-.f64 x (log.f64 x)) n)
(-.f64 1 (pow.f64 x (/.f64 1 n)))
(*.f64 (/.f64 1 n) (-.f64 x (log.f64 x)))
(/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n)
Outputs
(-.f64 1 (pow.f64 x (/.f64 1 n)))
(/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n)
(/.f64 1 (*.f64 (-.f64 (+.f64 x 1) 1) n))
(/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n)
(/.f64 (/.f64 1 x) n)
(-.f64 1 (pow.f64 x (/.f64 1 n)))
(/.f64 1 (*.f64 (-.f64 (+.f64 x 1) 1) n))
Calls

3 calls:

80.0ms
n
65.0ms
x
62.0ms
(/.f64 1 n)
Results
AccuracySegmentsBranch
71.6%8x
77.7%9n
76.1%7(/.f64 1 n)
Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes198.0ms (0.2%)

Counts
14 → 8
Calls
Call 1
Inputs
(/.f64 x n)
(/.f64 1 (*.f64 x n))
(/.f64 (/.f64 1 n) x)
(/.f64 (/.f64 1 x) n)
(*.f64 (/.f64 1 x) (/.f64 1 n))
(/.f64 1 (*.f64 x (/.f64 1 (/.f64 1 n))))
(/.f64 1 (*.f64 (-.f64 (+.f64 x 1) 1) n))
(/.f64 (/.f64 1 x) (/.f64 1 (/.f64 1 n)))
(/.f64 (/.f64 1 (-.f64 (+.f64 x 1) 1)) n)
(log.f64 1)
(/.f64 (neg.f64 (log.f64 x)) n)
(/.f64 (-.f64 x (log.f64 x)) n)
(-.f64 1 (pow.f64 x (/.f64 1 n)))
(*.f64 (/.f64 1 n) (-.f64 x (log.f64 x)))
Outputs
(-.f64 1 (pow.f64 x (/.f64 1 n)))
(/.f64 (neg.f64 (log.f64 x)) n)
(-.f64 1 (pow.f64 x (/.f64 1 n)))
(/.f64 (neg.f64 (log.f64 x)) n)
(-.f64 1 (pow.f64 x (/.f64 1 n)))
(/.f64 (neg.f64 (log.f64 x)) n)
(/.f64 (/.f64 1 (-.f64 (+.f64 x 1) 1)) n)
(log.f64 1)
Calls

3 calls:

69.0ms
n
68.0ms
(/.f64 1 n)
60.0ms
x
Results
AccuracySegmentsBranch
71.6%8x
67.7%9n
67.8%9(/.f64 1 n)
Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes41.0ms (0%)

Counts
12 → 5
Calls
Call 1
Inputs
(/.f64 x n)
(/.f64 1 (*.f64 x n))
(/.f64 (/.f64 1 n) x)
(/.f64 (/.f64 1 x) n)
(*.f64 (/.f64 1 x) (/.f64 1 n))
(/.f64 1 (*.f64 x (/.f64 1 (/.f64 1 n))))
(/.f64 1 (*.f64 (-.f64 (+.f64 x 1) 1) n))
(/.f64 (/.f64 1 x) (/.f64 1 (/.f64 1 n)))
(/.f64 (/.f64 1 (-.f64 (+.f64 x 1) 1)) n)
(log.f64 1)
(/.f64 (neg.f64 (log.f64 x)) n)
(/.f64 (-.f64 x (log.f64 x)) n)
Outputs
(/.f64 (neg.f64 (log.f64 x)) n)
(/.f64 1 (*.f64 (-.f64 (+.f64 x 1) 1) n))
(/.f64 (neg.f64 (log.f64 x)) n)
(/.f64 (/.f64 1 (-.f64 (+.f64 x 1) 1)) n)
(log.f64 1)
Calls

1 calls:

40.0ms
x
Results
AccuracySegmentsBranch
67.7%5x
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes14.0ms (0%)

Counts
10 → 2
Calls
Call 1
Inputs
(/.f64 x n)
(/.f64 1 (*.f64 x n))
(/.f64 (/.f64 1 n) x)
(/.f64 (/.f64 1 x) n)
(*.f64 (/.f64 1 x) (/.f64 1 n))
(/.f64 1 (*.f64 x (/.f64 1 (/.f64 1 n))))
(/.f64 1 (*.f64 (-.f64 (+.f64 x 1) 1) n))
(/.f64 (/.f64 1 x) (/.f64 1 (/.f64 1 n)))
(/.f64 (/.f64 1 (-.f64 (+.f64 x 1) 1)) n)
(log.f64 1)
Outputs
(/.f64 (/.f64 1 (-.f64 (+.f64 x 1) 1)) n)
(log.f64 1)
Calls

1 calls:

13.0ms
x
Results
AccuracySegmentsBranch
59.7%2x
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes7.0ms (0%)

Counts
9 → 1
Calls
Call 1
Inputs
(/.f64 x n)
(/.f64 1 (*.f64 x n))
(/.f64 (/.f64 1 n) x)
(/.f64 (/.f64 1 x) n)
(*.f64 (/.f64 1 x) (/.f64 1 n))
(/.f64 1 (*.f64 x (/.f64 1 (/.f64 1 n))))
(/.f64 1 (*.f64 (-.f64 (+.f64 x 1) 1) n))
(/.f64 (/.f64 1 x) (/.f64 1 (/.f64 1 n)))
(/.f64 (/.f64 1 (-.f64 (+.f64 x 1) 1)) n)
Outputs
(/.f64 (/.f64 1 (-.f64 (+.f64 x 1) 1)) n)
Calls

1 calls:

6.0ms
x
Results
AccuracySegmentsBranch
56.9%1x
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes8.0ms (0%)

Counts
8 → 1
Calls
Call 1
Inputs
(/.f64 x n)
(/.f64 1 (*.f64 x n))
(/.f64 (/.f64 1 n) x)
(/.f64 (/.f64 1 x) n)
(*.f64 (/.f64 1 x) (/.f64 1 n))
(/.f64 1 (*.f64 x (/.f64 1 (/.f64 1 n))))
(/.f64 1 (*.f64 (-.f64 (+.f64 x 1) 1) n))
(/.f64 (/.f64 1 x) (/.f64 1 (/.f64 1 n)))
Outputs
(/.f64 1 (*.f64 (-.f64 (+.f64 x 1) 1) n))
Calls

1 calls:

7.0ms
x
Results
AccuracySegmentsBranch
56.7%1x
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes16.0ms (0%)

Counts
6 → 1
Calls
Call 1
Inputs
(/.f64 x n)
(/.f64 1 (*.f64 x n))
(/.f64 (/.f64 1 n) x)
(/.f64 (/.f64 1 x) n)
(*.f64 (/.f64 1 x) (/.f64 1 n))
(/.f64 1 (*.f64 x (/.f64 1 (/.f64 1 n))))
Outputs
(/.f64 (/.f64 1 n) x)
Calls

3 calls:

6.0ms
n
5.0ms
(/.f64 1 n)
5.0ms
x
Results
AccuracySegmentsBranch
47.0%1n
47.0%1(/.f64 1 n)
47.0%1x
Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes7.0ms (0%)

Counts
2 → 1
Calls
Call 1
Inputs
(/.f64 x n)
(/.f64 1 (*.f64 x n))
Outputs
(/.f64 1 (*.f64 x n))
Calls

2 calls:

3.0ms
n
3.0ms
x
Results
AccuracySegmentsBranch
46.8%1x
46.8%1n
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes5.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
1 → 1
Calls
Call 1
Inputs
(/.f64 x n)
Outputs
(/.f64 x n)
Calls

2 calls:

3.0ms
n
3.0ms
x
Results
AccuracySegmentsBranch
4.4%1x
4.4%1n
Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch2.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
66443.93586474654
7456161100.640393
0.0ms
4.346467629507238e-36
1.293836258318729e-32
0.0ms
-4.2481109563307e-12
-7.940713353873614e-21
Compiler

Compiled 18 to 13 computations (27.8% saved)

bsearch1.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
2.043990413626393e-15
3.5663180609031324e-15
0.0ms
4.346467629507238e-36
1.293836258318729e-32
0.0ms
-4.2481109563307e-12
-7.940713353873614e-21
Compiler

Compiled 18 to 13 computations (27.8% saved)

bsearch1.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
66443.93586474654
7456161100.640393
0.0ms
1.6176600488639469e-77
6.734994747058858e-52
0.0ms
-4.2481109563307e-12
-7.940713353873614e-21
Compiler

Compiled 18 to 13 computations (27.8% saved)

bsearch0.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.7785654734700747e+93
1.130419166853954e+104
0.0ms
66443.93586474654
7456161100.640393
0.0ms
1.6176600488639469e-77
6.734994747058858e-52
0.0ms
-4.2481109563307e-12
-7.940713353873614e-21
Compiler

Compiled 18 to 13 computations (27.8% saved)

bsearch0.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.7785654734700747e+93
1.130419166853954e+104
0.0ms
66443.93586474654
7456161100.640393
0.0ms
1.6176600488639469e-77
6.734994747058858e-52
0.0ms
-4.2481109563307e-12
-7.940713353873614e-21
Compiler

Compiled 18 to 13 computations (27.8% saved)

bsearch0.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.7785654734700747e+93
1.130419166853954e+104
0.0ms
66443.93586474654
7456161100.640393
0.0ms
1.6176600488639469e-77
6.734994747058858e-52
0.0ms
-4.2481109563307e-12
-7.940713353873614e-21
Compiler

Compiled 18 to 13 computations (27.8% saved)

bsearch0.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.7785654734700747e+93
1.130419166853954e+104
0.0ms
66443.93586474654
7456161100.640393
0.0ms
1.6176600488639469e-77
6.734994747058858e-52
0.0ms
-4.2481109563307e-12
-7.940713353873614e-21
Compiler

Compiled 18 to 13 computations (27.8% saved)

bsearch0.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.7785654734700747e+93
1.130419166853954e+104
0.0ms
66443.93586474654
7456161100.640393
0.0ms
1.6176600488639469e-77
6.734994747058858e-52
0.0ms
-4.2481109563307e-12
-7.940713353873614e-21
Compiler

Compiled 18 to 13 computations (27.8% saved)

bsearch1.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.7785654734700747e+93
1.130419166853954e+104
0.0ms
2.043990413626393e-15
3.5663180609031324e-15
0.0ms
1.6176600488639469e-77
6.734994747058858e-52
0.0ms
-4.2481109563307e-12
-7.940713353873614e-21
0.0ms
-173294452063862.03
-5945051412.068342
0.0ms
-5.3721183175064853e+42
-6.658795606393578e+34
Compiler

Compiled 18 to 13 computations (27.8% saved)

bsearch360.0ms (0.4%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
narrow-enough
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
73.0ms
6.7336260469588915e+215
5.328165989725009e+218
40.0ms
6.791148442555981e-61
2.0518784498029843e-59
71.0ms
2.7609404647158565e-87
2.1341898998432146e-86
25.0ms
3.0785339614915667e-111
5.223908165969237e-111
38.0ms
7.123728819212268e-218
1.1232273166832542e-217
0.0ms
2.796514574708456e-223
2.8295155540149044e-223
113.0ms
2.1882988169846876e-275
4.869102021485574e-275
Results
165.0ms154×1024valid
60.0ms123×256infinite
27.0ms110×256valid
63.0ms82×2048valid
27.0ms60×512valid
2.0ms14×256unsamplable
6.0ms12×512infinite
3.0ms1024infinite
Compiler

Compiled 638 to 513 computations (19.6% saved)

bsearch221.0ms (0.2%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
76.0ms
6.7336260469588915e+215
5.328165989725009e+218
39.0ms
6.791148442555981e-61
2.0518784498029843e-59
49.0ms
2.1341898998432146e-86
1.6854213455418354e-82
56.0ms
5.223908165969237e-111
3.4077471015096745e-108
Results
34.0ms135×256infinite
67.0ms132×1024valid
19.0ms84×256valid
57.0ms80×2048valid
26.0ms50×512valid
3.0ms18×256unsamplable
8.0ms14×512infinite
1.0ms1024infinite
Compiler

Compiled 616 to 503 computations (18.3% saved)

bsearch71.0ms (0.1%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
71.0ms
6.7336260469588915e+215
5.328165989725009e+218
Results
49.0ms70×2048valid
7.0ms39×256valid
3.0ms18×256unsamplable
9.0ms17×1024valid
1.0ms1024infinite
Compiler

Compiled 156 to 135 computations (13.5% saved)

simplify58.0ms (0.1%)

Algorithm
egg-herbie
Rules
36×+-commutative
32×unsub-neg
22×neg-mul-1
18×sub-neg
18×*-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01642960
11922960
22052960
32152960
42322960
52612960
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(if (<=.f64 (/.f64 1 n) -4951760157141521/1237940039285380274899124224) (/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n)) (if (<=.f64 (/.f64 1 n) 7482888383134223/1496577676626844588240573268701473812127674924007424) (/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n) (if (<=.f64 (/.f64 1 n) 100000) (+.f64 (*.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (pow.f64 x 2)) (+.f64 (/.f64 1/2 (pow.f64 n 2)) (/.f64 -1/2 n))) (+.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n)) (*.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (pow.f64 x 3)) (+.f64 (/.f64 1/6 (pow.f64 n 3)) (+.f64 (/.f64 1/3 n) (/.f64 -1/2 (pow.f64 n 2))))))) (-.f64 (exp.f64 (/.f64 x n)) (pow.f64 x (/.f64 1 n))))))
(if (<=.f64 (/.f64 1 n) -4951760157141521/1237940039285380274899124224) (/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n)) (if (<=.f64 (/.f64 1 n) 7482888383134223/1496577676626844588240573268701473812127674924007424) (/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n) (if (<=.f64 (/.f64 1 n) 237684487542793/79228162514264337593543950336) (+.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n)) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (/.f64 (pow.f64 x 2) (+.f64 (/.f64 1/2 (pow.f64 n 2)) (/.f64 -1/2 n))))) (log.f64 (exp.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))))))))
(if (<=.f64 (/.f64 1 n) -4951760157141521/1237940039285380274899124224) (/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n)) (if (<=.f64 (/.f64 1 n) 1303703024854071/65185151242703554760590262029100101153646988597309960020356494379340201592426774597868716032) (/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n) (if (<=.f64 (/.f64 1 n) 100000) (*.f64 (/.f64 1 x) (/.f64 (pow.f64 x (/.f64 1 n)) n)) (-.f64 (exp.f64 (/.f64 x n)) (pow.f64 x (/.f64 1 n))))))
(if (<=.f64 (/.f64 1 n) -4951760157141521/1237940039285380274899124224) (/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n)) (if (<=.f64 (/.f64 1 n) 1303703024854071/65185151242703554760590262029100101153646988597309960020356494379340201592426774597868716032) (/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n) (if (<=.f64 (/.f64 1 n) 100000) (*.f64 (/.f64 1 x) (/.f64 (pow.f64 x (/.f64 1 n)) n)) (if (<=.f64 (/.f64 1 n) 2000000000000000086754593949238372146580586649903878623583547578672233625779362221882647511040) (-.f64 (+.f64 1 (/.f64 x n)) (pow.f64 x (/.f64 1 n))) (sqrt.f64 (pow.f64 (*.f64 x n) -2))))))
(if (<=.f64 (/.f64 1 n) -4951760157141521/1237940039285380274899124224) (/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n)) (if (<=.f64 (/.f64 1 n) 1303703024854071/65185151242703554760590262029100101153646988597309960020356494379340201592426774597868716032) (/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n) (if (<=.f64 (/.f64 1 n) 100000) (*.f64 (/.f64 1 x) (/.f64 (pow.f64 x (/.f64 1 n)) n)) (if (<=.f64 (/.f64 1 n) 2000000000000000086754593949238372146580586649903878623583547578672233625779362221882647511040) (-.f64 (+.f64 1 (/.f64 x n)) (pow.f64 x (/.f64 1 n))) (/.f64 1 (*.f64 (-.f64 (+.f64 x 1) 1) n))))))
(if (<=.f64 (/.f64 1 n) -4951760157141521/1237940039285380274899124224) (/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n)) (if (<=.f64 (/.f64 1 n) 1303703024854071/65185151242703554760590262029100101153646988597309960020356494379340201592426774597868716032) (/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n) (if (<=.f64 (/.f64 1 n) 100000) (*.f64 (/.f64 1 x) (/.f64 (pow.f64 x (/.f64 1 n)) n)) (if (<=.f64 (/.f64 1 n) 2000000000000000086754593949238372146580586649903878623583547578672233625779362221882647511040) (-.f64 1 (pow.f64 x (/.f64 1 n))) (/.f64 1 (*.f64 (-.f64 (+.f64 x 1) 1) n))))))
(if (<=.f64 (/.f64 1 n) -4951760157141521/1237940039285380274899124224) (/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n)) (if (<=.f64 (/.f64 1 n) 1303703024854071/65185151242703554760590262029100101153646988597309960020356494379340201592426774597868716032) (/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n) (if (<=.f64 (/.f64 1 n) 100000) (/.f64 (/.f64 (pow.f64 x (/.f64 1 n)) n) x) (if (<=.f64 (/.f64 1 n) 2000000000000000086754593949238372146580586649903878623583547578672233625779362221882647511040) (-.f64 1 (pow.f64 x (/.f64 1 n))) (/.f64 1 (*.f64 (-.f64 (+.f64 x 1) 1) n))))))
(if (<=.f64 (/.f64 1 n) -4951760157141521/1237940039285380274899124224) (/.f64 (/.f64 (pow.f64 x (/.f64 1 n)) n) x) (if (<=.f64 (/.f64 1 n) 1303703024854071/65185151242703554760590262029100101153646988597309960020356494379340201592426774597868716032) (/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n) (if (<=.f64 (/.f64 1 n) 100000) (/.f64 (/.f64 (pow.f64 x (/.f64 1 n)) n) x) (if (<=.f64 (/.f64 1 n) 2000000000000000086754593949238372146580586649903878623583547578672233625779362221882647511040) (-.f64 1 (pow.f64 x (/.f64 1 n))) (/.f64 1 (*.f64 (-.f64 (+.f64 x 1) 1) n))))))
(if (<=.f64 (/.f64 1 n) -5000000000000000069686058479707049565356032) (-.f64 1 (pow.f64 x (/.f64 1 n))) (if (<=.f64 (/.f64 1 n) -100000000000000) (/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n) (if (<=.f64 (/.f64 1 n) -4951760157141521/1237940039285380274899124224) (/.f64 1 (*.f64 (-.f64 (+.f64 x 1) 1) n)) (if (<=.f64 (/.f64 1 n) 1303703024854071/65185151242703554760590262029100101153646988597309960020356494379340201592426774597868716032) (/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n) (if (<=.f64 (/.f64 1 n) 237684487542793/79228162514264337593543950336) (/.f64 (/.f64 1 x) n) (if (<=.f64 (/.f64 1 n) 2000000000000000086754593949238372146580586649903878623583547578672233625779362221882647511040) (-.f64 1 (pow.f64 x (/.f64 1 n))) (/.f64 1 (*.f64 (-.f64 (+.f64 x 1) 1) n))))))))
(if (<=.f64 x 8264026281667199/311850048364799970571308236412006025948039259443040240859773006630814358104525635278899682108224328295209757319405077381870693435686499009490495593482004909425000886398607136955865268975681716747289586991334988123957939133612635998263883635695006899610487641699336881506618514879741251551232) (-.f64 1 (pow.f64 x (/.f64 1 n))) (if (<=.f64 x 7293140785962341/26046931378436930758124421057504913270096712196546516251547882077203270460225125279380594534654508948214569963255598595491753131461403769845169359579417304867559209294976619368996399554343023534097519594280807038990979484521392426918608896) (/.f64 (neg.f64 (log.f64 x)) n) (if (<=.f64 x 3974446316289815/49680578953622685924767343630800081768220352547734291556449665216833630485964060362588109082516687294415607382308194342597490561411674060526217192801317796454542559232667196977608489140211150234408415974198927000028571099322113851392) (-.f64 1 (pow.f64 x (/.f64 1 n))) (if (<=.f64 x 1624611148898915/338460656020607282663380637712778772392143197677711984273740183180495765112991409062496875745134225841966700556811959451779072) (/.f64 (neg.f64 (log.f64 x)) n) (if (<=.f64 x 1567821319524463/559936185544451052639360570142111069530411374308662383724997275240947967795040236345219373317901778944) (-.f64 1 (pow.f64 x (/.f64 1 n))) (if (<=.f64 x 6694230159032343/904625697166532776746648320380374280103671755200316906558262375061821325312) (/.f64 (neg.f64 (log.f64 x)) n) (if (<=.f64 x 1079999999999999998640854161398601853153333519476347215099686909860345273662919045875669680112146417779934817619386358239332317891559933185433049961566945554131662730913948238907903124840715092491393488545753377800192) (/.f64 (/.f64 1 (-.f64 (+.f64 x 1) 1)) n) (log.f64 1))))))))
(if (<=.f64 x 3331722082702853/5288447750321988791615322464262168318627237463714249754277190362195246329890490766601513683517722278780729696200186866434048) (/.f64 (neg.f64 (log.f64 x)) n) (if (<=.f64 x 213598703592091/2135987035920910082395021706169552114602704522356652769947041607822219725780640550022962086936576) (/.f64 1 (*.f64 (-.f64 (+.f64 x 1) 1) n)) (if (<=.f64 x 497544133441593/56539106072908298546665520023773392506479484700019806659891398441363832832) (/.f64 (neg.f64 (log.f64 x)) n) (if (<=.f64 x 2199999999999999985891361924475525911636766425318393390660862726979717313865632429986733685606802319518358404389300429552916319489464861252785322829749623848595235705813650496357820871698963798072157369386268463464448) (/.f64 (/.f64 1 (-.f64 (+.f64 x 1) 1)) n) (log.f64 1)))))
(if (<=.f64 x 820000000000000072678105750489507518507687508099303972100009012676671291154255847345606565125834772049757818140956223256696373800317466452958101068564682741974246145006547118384808081726746607410485938629802276683776) (/.f64 (/.f64 1 (-.f64 (+.f64 x 1) 1)) n) (log.f64 1))
(/.f64 (/.f64 1 (-.f64 (+.f64 x 1) 1)) n)
(/.f64 1 (*.f64 (-.f64 (+.f64 x 1) 1) n))
(/.f64 (/.f64 1 n) x)
(/.f64 1 (*.f64 x n))
(/.f64 x n)
Outputs
(if (<=.f64 (/.f64 1 n) -4951760157141521/1237940039285380274899124224) (/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n)) (if (<=.f64 (/.f64 1 n) 7482888383134223/1496577676626844588240573268701473812127674924007424) (/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n) (if (<=.f64 (/.f64 1 n) 100000) (+.f64 (*.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (pow.f64 x 2)) (+.f64 (/.f64 1/2 (pow.f64 n 2)) (/.f64 -1/2 n))) (+.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n)) (*.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (pow.f64 x 3)) (+.f64 (/.f64 1/6 (pow.f64 n 3)) (+.f64 (/.f64 1/3 n) (/.f64 -1/2 (pow.f64 n 2))))))) (-.f64 (exp.f64 (/.f64 x n)) (pow.f64 x (/.f64 1 n))))))
(if (<=.f64 (/.f64 1 n) -4951760157141521/1237940039285380274899124224) (/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 n x)) (if (<=.f64 (/.f64 1 n) 7482888383134223/1496577676626844588240573268701473812127674924007424) (/.f64 (log.f64 (/.f64 (+.f64 1 x) x)) n) (if (<=.f64 (/.f64 1 n) 100000) (+.f64 (*.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (pow.f64 x 2)) (+.f64 (/.f64 1/2 (pow.f64 n 2)) (/.f64 -1/2 n))) (+.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n x)) (*.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (pow.f64 x 3)) (+.f64 (/.f64 1/6 (pow.f64 n 3)) (+.f64 (/.f64 1/3 n) (/.f64 -1/2 (pow.f64 n 2))))))) (-.f64 (exp.f64 (/.f64 x n)) (pow.f64 x (/.f64 1 n))))))
(if (<=.f64 (/.f64 1 n) -4951760157141521/1237940039285380274899124224) (/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n)) (if (<=.f64 (/.f64 1 n) 7482888383134223/1496577676626844588240573268701473812127674924007424) (/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n) (if (<=.f64 (/.f64 1 n) 237684487542793/79228162514264337593543950336) (+.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n)) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (/.f64 (pow.f64 x 2) (+.f64 (/.f64 1/2 (pow.f64 n 2)) (/.f64 -1/2 n))))) (log.f64 (exp.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))))))))
(if (<=.f64 (/.f64 1 n) -4951760157141521/1237940039285380274899124224) (/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 n x)) (if (<=.f64 (/.f64 1 n) 7482888383134223/1496577676626844588240573268701473812127674924007424) (/.f64 (log.f64 (/.f64 (+.f64 1 x) x)) n) (if (<=.f64 (/.f64 1 n) 237684487542793/79228162514264337593543950336) (+.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n x)) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (/.f64 (pow.f64 x 2) (+.f64 (/.f64 1/2 (pow.f64 n 2)) (/.f64 -1/2 n))))) (log.f64 (exp.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))))))))
(if (<=.f64 (/.f64 1 n) -4951760157141521/1237940039285380274899124224) (/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n)) (if (<=.f64 (/.f64 1 n) 1303703024854071/65185151242703554760590262029100101153646988597309960020356494379340201592426774597868716032) (/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n) (if (<=.f64 (/.f64 1 n) 100000) (*.f64 (/.f64 1 x) (/.f64 (pow.f64 x (/.f64 1 n)) n)) (-.f64 (exp.f64 (/.f64 x n)) (pow.f64 x (/.f64 1 n))))))
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(if (<=.f64 (/.f64 1 n) -4951760157141521/1237940039285380274899124224) (/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n)) (if (<=.f64 (/.f64 1 n) 1303703024854071/65185151242703554760590262029100101153646988597309960020356494379340201592426774597868716032) (/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n) (if (<=.f64 (/.f64 1 n) 100000) (*.f64 (/.f64 1 x) (/.f64 (pow.f64 x (/.f64 1 n)) n)) (if (<=.f64 (/.f64 1 n) 2000000000000000086754593949238372146580586649903878623583547578672233625779362221882647511040) (-.f64 (+.f64 1 (/.f64 x n)) (pow.f64 x (/.f64 1 n))) (sqrt.f64 (pow.f64 (*.f64 x n) -2))))))
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(if (<=.f64 x 3331722082702853/5288447750321988791615322464262168318627237463714249754277190362195246329890490766601513683517722278780729696200186866434048) (/.f64 (neg.f64 (log.f64 x)) n) (if (<=.f64 x 213598703592091/2135987035920910082395021706169552114602704522356652769947041607822219725780640550022962086936576) (/.f64 1 (*.f64 n (-.f64 (+.f64 1 x) 1))) (if (<=.f64 x 497544133441593/56539106072908298546665520023773392506479484700019806659891398441363832832) (/.f64 (neg.f64 (log.f64 x)) n) (if (<=.f64 x 2199999999999999985891361924475525911636766425318393390660862726979717313865632429986733685606802319518358404389300429552916319489464861252785322829749623848595235705813650496357820871698963798072157369386268463464448) (/.f64 (/.f64 1 (-.f64 (+.f64 1 x) 1)) n) 0))))
(if (<=.f64 x 3331722082702853/5288447750321988791615322464262168318627237463714249754277190362195246329890490766601513683517722278780729696200186866434048) (/.f64 (neg.f64 (log.f64 x)) n) (if (<=.f64 x 213598703592091/2135987035920910082395021706169552114602704522356652769947041607822219725780640550022962086936576) (/.f64 1 (*.f64 n (+.f64 (+.f64 1 x) -1))) (if (<=.f64 x 497544133441593/56539106072908298546665520023773392506479484700019806659891398441363832832) (/.f64 (neg.f64 (log.f64 x)) n) (if (<=.f64 x 2199999999999999985891361924475525911636766425318393390660862726979717313865632429986733685606802319518358404389300429552916319489464861252785322829749623848595235705813650496357820871698963798072157369386268463464448) (/.f64 (/.f64 1 (+.f64 (+.f64 1 x) -1)) n) 0))))
(if (<=.f64 x 820000000000000072678105750489507518507687508099303972100009012676671291154255847345606565125834772049757818140956223256696373800317466452958101068564682741974246145006547118384808081726746607410485938629802276683776) (/.f64 (/.f64 1 (-.f64 (+.f64 x 1) 1)) n) (log.f64 1))
(if (<=.f64 x 820000000000000072678105750489507518507687508099303972100009012676671291154255847345606565125834772049757818140956223256696373800317466452958101068564682741974246145006547118384808081726746607410485938629802276683776) (/.f64 (/.f64 1 (-.f64 (+.f64 1 x) 1)) n) 0)
(if (<=.f64 x 820000000000000072678105750489507518507687508099303972100009012676671291154255847345606565125834772049757818140956223256696373800317466452958101068564682741974246145006547118384808081726746607410485938629802276683776) (/.f64 (/.f64 1 (+.f64 (+.f64 1 x) -1)) n) 0)
(/.f64 (/.f64 1 (-.f64 (+.f64 x 1) 1)) n)
(/.f64 (/.f64 1 (-.f64 (+.f64 1 x) 1)) n)
(/.f64 (/.f64 1 (+.f64 (+.f64 1 x) -1)) n)
(/.f64 1 (*.f64 (-.f64 (+.f64 x 1) 1) n))
(/.f64 1 (*.f64 n (-.f64 (+.f64 1 x) 1)))
(/.f64 1 (*.f64 n (+.f64 (+.f64 1 x) -1)))
(/.f64 (/.f64 1 n) x)
(/.f64 1 (*.f64 x n))
(/.f64 1 (*.f64 n x))
(/.f64 x n)
Compiler

Compiled 861 to 603 computations (30% saved)

soundness7.5s (8%)

Rules
1764×prod-diff
1534×times-frac
1534×times-frac
1534×times-frac
1534×times-frac
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
048115714
1118314544
2430713756
0163973686
1483069766
048115714
1118314544
2430713756
032439
1568436
048115714
1118314544
2430713756
048115714
1118314544
2430713756
0163973686
1483069766
0163973686
1483069766
028300
1456286
26281286
023133
1348133
24987133
032439
1568436
01379
118771
2253371
0163973686
1483069766
032439
1568436
028300
1456286
26281286
028300
1456286
26281286
048115714
1118314544
2430713756
Stop Event
node limit
node limit
node limit
node limit
node limit
node limit
node limit
node limit
node limit
node limit
node limit
node limit
node limit
node limit
node limit
node limit
node limit
Compiler

Compiled 1056 to 676 computations (36% saved)

end2.0ms (0%)

preprocess365.0ms (0.4%)

Compiler

Compiled 1688 to 1124 computations (33.4% saved)

Profiling

Loading profile data...